Videos

Video thumbnail for How To Derive The Formula For The Sum of an Arithmetic Series
06:38
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How To Derive The Formula For The Sum of an Arithmetic Series

This video explains how to derive the formula that gives you the sum of an arithmetic series. This video also explains the difference between an arithmetic sequence and an arithmetic series as well as identifying the common difference between terms. Sequences - Free Formula Sheet: https://www.video-tutor.net/precalculus-formula-sheets.html ...
YouTube
· May 23, 2021
Video thumbnail for How To Derive The Sum Formula of a Geometric Series
14:41
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How To Derive The Sum Formula of a Geometric Series

This video explains how to derive the formula that gives you the sum of a finite geometric series and the sum formula for an infinite geometric series. This video also explains the difference between a geometric sequence and a geometric series as well as how to determine the common ratio. Sequences - Free Formula Sheet: https://bit.ly/4eau2KQ ...
YouTube
· May 23, 2021
Video thumbnail for Finding The Sum of an Infinite Geometric Series
19:50
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Finding The Sum of an Infinite Geometric Series

This calculus video tutorial explains how to find the sum of an infinite geometric series by identifying the first term and the common ratio. The examples and practice problems are presented using sigma notation or summation notation. Sequences - Free Formula Sheet: https://bit.ly/4eau2KQ Sequences and Series: https://www.video-tutor.net ...
YouTube
· Mar 27, 2018
Video thumbnail for How To Find The Sum of an Arithmetic Series - Algebra
10:38
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How To Find The Sum of an Arithmetic Series - Algebra

This algebra video tutorial explains how to find the sum of an arithmetic series using 2 formulas. Sequences - Free Formula Sheet: https://www.video-tutor.net/algebra-formula-sheet.html Sequences and Series: https://www.video-tutor.net/sequences.html
YouTube
· Jan 4, 2024
Video thumbnail for How To Find The Sum of a Geometric Series
05:14
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How To Find The Sum of a Geometric Series

This calculus video tutorial explains how to find the sum of an infinite geometric series by identifying the first term and the common ratio. The examples and practice problems are presented using sigma notation or summation notation. Access Full-Length Premium Videos: https://www.patreon.com/MathScienceTutor Sequences - Free Formula Sheet ...
YouTube
· Mar 27, 2018
Video thumbnail for Finding The Sum of a Finite Geometric Series
12:59
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Finding The Sum of a Finite Geometric Series

This calculus video tutorial explains how to find the sum of a finite geometric series using a simple formula. This video contains plenty of examples and practice problems including example problems in the form of a geometric sequence of partial sums and in the form of sigma notation or summation notation. The finite sum of a sequence is known ...
YouTube
· Mar 27, 2018
Video thumbnail for Find the Sum of the Series SUM((2^n + 1)/3^n)
03:57
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Find the Sum of the Series SUM((2^n + 1)/3^n)

Find the Sum of the Series SUM((2^n + 1)/3^n) We write this as two infinite series which are both geometric in order to find the sum. If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways ...
YouTube
· Mar 31, 2021
Video thumbnail for How to Find the Exact Sum of a Series using Taylor Series | Series | Calculus | Glass of Numbers
14:55
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How to Find the Exact Sum of a Series using Taylor Series | Series | Calculus | Glass of Numbers

In this video, we use a Maclaurin Series (Taylor Series centered at 0) for cosine to find the sum of the given series. The trick is to recognize which function has a Taylor series expansion of the same form. For the problem in this video, we can see that the series has the same form as the Taylor series for the cosine function. So, we can use ...
YouTube
· Apr 11, 2020
Video thumbnail for How to Visualize Series in Mathematica (And Partial Sum Sequences)
07:37
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How to Visualize Series in Mathematica (And Partial Sum Sequences)

Series and Partial Sum Sequences are a critical part of mathematics. Mathematica can help make these concepts visual, and I can show you how. SUBSCRIBE for updates and connect with me on Facebook! https://www.facebook.com/johnestesmath/ And on Twitter: https://twitter.com/JohnEstesMath And on Instagram: https://www.instagram.com/johnestesmath ...
YouTube
· Sep 9, 2019
Video thumbnail for Introduction to Series and Summation Notation (Precalculus - College Algebra 68)
42:41
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Introduction to Series and Summation Notation (Precalculus - College Algebra 68)

What series are as based on a sequence and how to calculate series quickly with summation formulas. Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com
YouTube
· Nov 17, 2020
Video thumbnail for Convergence and Divergence - Introduction to Series
16:18
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Convergence and Divergence - Introduction to Series

This calculus 2 video tutorial provides a basic introduction into series. It explains how to determine the convergence and divergence of a series. It explains the difference between a sequence and a series. This video includes examples and practice problems with geometric series, harmonic series, and the telescoping series. It also discusses ...
YouTube
· Jan 20, 2021
Video thumbnail for Estimating Sums Using the Integral Test and Comparison Test
09:56
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Estimating Sums Using the Integral Test and Comparison Test

Sometimes it can be tricky to calculate the precise sum of a series, but we can still use some nifty tricks to determine whether it is convergent or divergent. These are the integral test, where we approximate a sum by evaluating a corresponding improper integral, and the comparison test, where we compare a series to a simplified version with ...
YouTube
· Jun 22, 2018
Video thumbnail for Sequences, Factorials, and Summation Notation
11:12
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Sequences, Factorials, and Summation Notation

You may have this scary looking upper case sigma before. But don't worry, it just means to add some things up! Once we understand how series work, we can do all kinds of other things. Also, have you ever seen numbers with exclamation points after them? No it, doesn't mean that you shout the number. Those are factorials! We will learn about ...
YouTube
· Dec 18, 2017
Video thumbnail for Arithmetic Sequences and Arithmetic Series - Basic Introduction
44:04
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Arithmetic Sequences and Arithmetic Series - Basic Introduction

This video provides a basic introduction into arithmetic sequences and series. It explains how to find the nth term of a sequence as well as how to find the sum of an arithmetic sequence. It also discusses how to distinguish a finite sequence from an infinite series. It also includes a few word problems. Get The Full 2 Hour 38 Minute Video on ...
YouTube
· May 13, 2021
Video thumbnail for Calculus 2 - Geometric Series, P-Series, Ratio Test, Root Test, Alternating Series, Integral Test
43:52
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Calculus 2 - Geometric Series, P-Series, Ratio Test, Root Test, Alternating Series, Integral Test

This calculus 2 video provides a basic review into the convergence and divergence of a series. It contains plenty of examples and practice problems. Integral Test For Divergence: https://www.youtube.com/watch?v=f9SJz4-UaQQ Remainder Estimate - Integral Test: https://www.youtube.com/watch?v=vaU5DDcTfZk P-Series: https://www.youtube.com/watch?v ...
YouTube
· Mar 31, 2018
Video thumbnail for Summation Formulas and Sigma Notation - Calculus
20:24
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Summation Formulas and Sigma Notation - Calculus

This calculus video tutorial provides a basic introduction into summation formulas and sigma notation. It explains how to find the sum using summation formulas for constants, i, i^2, and i^3. Integration - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Calculus 1 Final Exam Review: https://www.youtube.com/watch?v ...
YouTube
· Mar 9, 2018
Video thumbnail for Calculus II - 9.2.1 Infinite Series
08:45
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Calculus II - 9.2.1 Infinite Series

We take our first look at what makes an infinite series and start to explore how to answer the two big questions: 1. Does the series converge? 2. If so, what is the sum of the series? Video Chapters: Intro 0:00 What Makes an Infinite Series and Example 1 0:08 Example 2 6:10 Up Next 8:22 This playlist follows Larson and Edwards, Calculus 12e ...
YouTube
· Sep 29, 2020
Video thumbnail for Estimating the Remainder of a Series Approximation via the Integral Test
09:03
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Estimating the Remainder of a Series Approximation via the Integral Test

If we approximate a series by a partial sum, how good is this approximation? In this video we modify the argument used in the Integral Test to come up with a formula that creates a bound on how bad the "remainder" or "error" of this approximation can be. That is, the remainder will need to be less than a particular improper integral ...
YouTube
· Mar 18, 2019
Video thumbnail for Alternate Series Estimation Theorem
11:40
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Alternate Series Estimation Theorem

This calculus 2 video tutorial provides a basic introduction into the alternate series estimation theorem also known as the alternate series remainder. It explains how to estimate the sum of the infinite series correct to three decimals places by calculating the number of terms needed by using the remainder estimate theorem. Final Exam and Test ...
YouTube
· Mar 30, 2018
Video thumbnail for Remainder Estimate For The Integral Test
17:01
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Remainder Estimate For The Integral Test

This calculus 2 video tutorial explains how to find the remainder estimate for the integral test. It also explains how to estimate the sum of the infinite series using the partial sum and using the remainder estimation theorem for the integral test and confirming the answer with the calculator. This video also explains how to find the number of ...
YouTube
· Mar 29, 2018
Video thumbnail for Simpson's Rule & Numerical Integration
12:11
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Simpson's Rule & Numerical Integration

This calculus video tutorial provides a basic introduction into Simpson's rule and numerical integration. It discusses how to estimate the value of the definite integral using Simpson's rule. It also explains how to find the displacement of an object given a data table showing the instantaneous velocity of the object at different times. This ...
YouTube
· Mar 13, 2018
Video thumbnail for Telescoping Series
23:39
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Telescoping Series

This calculus 2 video tutorial provides a basic introduction into the telescoping series. It explains how to determine the divergence or convergence of the telescoping series. It also explains how to use the telescoping series to find the sum of the infinite series by taking the limit as n goes to infinity of the partial sum formula. This ...
YouTube
· Mar 28, 2018
Video thumbnail for Finding Power Series By Differentiation
20:41
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Finding Power Series By Differentiation

This calculus 2 video tutorial explains how to find a power series representation of a function by differentiation. It also explains how to find the radius of convergence and interval of convergence for such a power series based on the convergence of the original geometric power series. It explains how to check the endpoints for convergence ...
YouTube
· Apr 2, 2018
Video thumbnail for Harmonic Series
03:52
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Harmonic Series

This calculus 2 video provides a basic introduction into the harmonic series. It explains why the harmonic series diverges using the integral test for series. Improper Integrals: https://www.youtube.com/watch?v=ND9cEdfCFr0 Final Exam and Test Prep Videos: https://bit.ly/41WNmI9 __________________________________ Converging & Diverging Sequences ...
YouTube
· Mar 28, 2018
Video thumbnail for Power Series - Differentiation and Integration - Calculus 2
34:36
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Power Series - Differentiation and Integration - Calculus 2

This calculus 2 video tutorial provides a basic introduction into the differentiation and integration of power series. It explains how to find the derivative and the integral of a function represented as a power series. In addition, it explains how to find the radius of convergence and the interval of convergence using the ratio test after ...
YouTube
· Apr 1, 2018
Video thumbnail for Geometric Series and Geometric Sequences - Basic Introduction
31:20
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Geometric Series and Geometric Sequences - Basic Introduction

This algebra and precalculus video tutorial provide a basic introduction into geometric series and geometric sequences. It explains how to calculate the common ratio of a geometric sequence and how to determine the nth term of a geometric sequence. It explains how to write a general equation for a geometric series using a simple formula and how ...
YouTube
· May 16, 2021
Video thumbnail for How to Compute a FOURIER SERIES // Formulas & Full Example
13:16
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How to Compute a FOURIER SERIES // Formulas & Full Example

How do you actually compute a Fourier Series? In this video I walk through all the big formulas needed to compute the coefficients in a Fourier Series. First we see three integrals that will really make everything easier, integrals of products of sin and cos terms of different frequencies. Then we will use these to compute out formulas for the ...
YouTube
· May 6, 2021
Video thumbnail for Wolfram Alpha Calculator
01:46
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Wolfram Alpha Calculator

Parts $50 Display https://www.waveshare.com/2.8inch-hdmi-lcd-h.htm $8 USB-C to Micro-USB https://www.amazon.com/dp/B01M72GS0H $16 Flexible HDMI Cable https://www.amazon.com/dp/B07Z767H2H $25 Battery https://www.amazon.com/dp/B09HXYTDMV/ $50 Pi Zero 2 W Kit https://www.pishop.us/product/raspberry-pi-zero-2-w-starter-kit/ $15 Broken Ti-84 on Ebay ...
YouTube
· Apr 2, 2023
Video thumbnail for Summation Notation On Your Calculator
05:20
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Summation Notation On Your Calculator

How to solve sigma notation using your TI-84
YouTube
· Apr 21, 2021
Video thumbnail for Wolfram|Alpha Notebook Edition General Overview
26:12
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Wolfram|Alpha Notebook Edition General Overview

Wolfram|Alpha Notebook Edition provides the ease of Wolfram|Alpha calculations with the rich notebook environment in Mathematica, and now includes browser-based access in addition to a local installation. Course materials have the same look and feel in either environment, which means instructors and students can use any mix of macOS, Windows ...
YouTube
· Mar 10, 2021
Video thumbnail for Algorithm to calculate the sum of series 1+2+3....+N
06:57
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Algorithm to calculate the sum of series 1+2+3....+N

Algorithm to calculate the sum of series 1 to N is explained step by step. Other videos Algorithm to Calculate the sum of Squares https://youtu.be/gWxtAkQKEi0
YouTube
· Jun 19, 2022
Video thumbnail for HOW TO USE SIGMA NOTATION ON CALCULATOR-SUMMATION MADE SIMPLE
01:47
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HOW TO USE SIGMA NOTATION ON CALCULATOR-SUMMATION MADE SIMPLE

Solve SUMMATION related questions with ease. Use your natural display calculator efficiently. If you ask any questions. Drop it in the comment below. #calculatortricks #calculator #summation @mawuklocalc #mawuklo #casio #casio991es
YouTube
· May 11, 2020
Video thumbnail for 7) Sum of Arithmetic Series Gr 12 | Intro
04:19
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7) Sum of Arithmetic Series Gr 12 | Intro

In this lesson we will look at the sum of an arithmetic series which is part of grade 12 patterns. Do you need more videos? I have a complete online course with way more content.Click here: https://purchase.kevinmathandscience.com/299course 🟢Follow me on Instagram: https://www.instagram.com/kevinmathscience
YouTube
· Jul 27, 2020
Video thumbnail for Fourier Series Coefficients of Triangle Wave, Square Wave, and Impulse train | 5.6
42:00
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Fourier Series Coefficients of Triangle Wave, Square Wave, and Impulse train | 5.6

In this video, Fourier series analysis and synthesis using coefficients of Periodic Triangle Wave, Periodic Square Wave, and Periodic Impulse train is derived. Use of properties table including integration, linearity, and time shifting is explained, also how to take the coefficient of a dc off set is also analyzed. 00:00 Triangular periodic ...
YouTube
· Jan 25, 2021
Video thumbnail for How to find the finite sum of a geometric sequence
07:17
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How to find the finite sum of a geometric sequence

👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term, n is the term number and r is the common ratio ...
YouTube
· Apr 21, 2014
Video thumbnail for CALCULATOR TECHNIQUE (SUM OF n TERMS IN ARITHMETIC PROGRESSION)
04:31
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CALCULATOR TECHNIQUE (SUM OF n TERMS IN ARITHMETIC PROGRESSION)

CALCULATOR TRICKS AND TECHNIQUES VIDEO SERIES 1. SHIFT SOLVE : https://youtu.be/TCNXLZys-2A 2. COSINE LAW : https://youtu.be/bAyc2ab4emQ 3. NTH TERM OF ARITHMETIC PROGRESSION : https://youtu.be/kvWKSstfrN8 4. SUM OF n TERMS OF ARITHMETIC PROGRESSION #CalculatorTechnique #CalculatorTricks #ArithmeticSeries
YouTube
· Feb 16, 2022
Video thumbnail for Using Wolfram Alpha in Calculus (Part 1)
03:29
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Using Wolfram Alpha in Calculus (Part 1)

YouTube
· Feb 2, 2022
Video thumbnail for Learn how to find the sum of an arithmetic series
07:11
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Learn how to find the sum of an arithmetic series

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is the first term, n is the term number and d is the ...
YouTube
· Jun 10, 2015
Video thumbnail for How to Calculate Summation of a Constant (Sigma Notation)
02:16
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How to Calculate Summation of a Constant (Sigma Notation)

Learn how to calculate summations involving a constant from 1 to N. Summations that use the sigma notation is just a more compact way of expressing the addition of N terms. However coming up with a formula or way to solve these questions are a tiny bit trickier. Music by Adrian von Ziegler
YouTube
· Apr 24, 2019
Video thumbnail for Power Series - Part 1 (radius and interval of convergence)
10:00
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Power Series - Part 1 (radius and interval of convergence)

This video explains how to determine the radius and interval of convergence of a given power series. These examples are centered at x = 0. http://mathispower4u.yolasite.com/
YouTube
· Oct 9, 2010
Video thumbnail for TI 36x Pro Summation
01:23
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TI 36x Pro Summation

In this video I will show you how you can use the summation function to evaluate series (using sigma notation).
YouTube
· Sep 7, 2015
Video thumbnail for How to determine the sum of a infinite geometric series
03:41
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How to determine the sum of a infinite geometric series

👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term, n is the term number and r is the common ratio ...
YouTube
· Apr 21, 2014
Video thumbnail for Find the Sum of the Series by using Maclaurin Series
03:11
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Find the Sum of the Series by using Maclaurin Series

In this video we find the sum of a series, SUM((-1)^nx^(4n)/n!). In order to do this we use a popular Maclaurin Series. If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways that you can ...
YouTube
· Dec 6, 2021
Video thumbnail for what is sigma notation and how to we use it
01:22
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what is sigma notation and how to we use it

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is the first term, n is the term number and d is the ...
YouTube
· Apr 15, 2014
Video thumbnail for Secret Trick to Find the Sum of Consecutive Numbers In a Series
03:51
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Secret Trick to Find the Sum of Consecutive Numbers In a Series

in this video, we will learn a formula to quickly calculate the sum of consecutive numbers in a series. once you have learned this technique, you do not need a calculator anymore. Learn and calculate mentally quickly.
YouTube
· Jan 26, 2024
Video thumbnail for Use series to approximate definite integral sin(x^4) dx to four decimal places
05:08
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Use series to approximate definite integral sin(x^4) dx to four decimal places

YouTube
· Apr 15, 2021
Video thumbnail for 8) Sum of Geometric Series Gr 12 | Intro
01:57
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8) Sum of Geometric Series Gr 12 | Intro

In this lesson we will look at the sum of a geometric series which is part of grade 12 patterns. Do you need more videos? I have a complete online course with way more content.Click here: https://purchase.kevinmathandscience.com/299course 🟢Follow me on Instagram: https://www.instagram.com/kevinmathscience
YouTube
· Jul 27, 2020
Video thumbnail for Finding the sum of a series with alternating terms
04:02
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Finding the sum of a series with alternating terms

👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term, n is the term number and r is the common ratio ...
YouTube
· Apr 24, 2013
Video thumbnail for Caltech in solving nth term of Geometric Sequence using Casio fx - 570ES PLUS calculator
11:39
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Caltech in solving nth term of Geometric Sequence using Casio fx - 570ES PLUS calculator

Step using Calculator Click “MODE” Choose 2 for Arithmetic Progression Choose 6 for Geometric Progression After clicking it will show x y “x” for terms “y” for value of term Example Problem: If the first term equals 1 and the 2nd term equals 9, what is the 10th term? x y 1 1 2 9 Click “AC” Click “Shift 1 5 5” If you are ...
YouTube
· Sep 21, 2020
Video thumbnail for Telescoping Series/Telescoping Sums for Calculus 2 | Math with Professor V
31:26
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Telescoping Series/Telescoping Sums for Calculus 2 | Math with Professor V

Four examples explaining how to determine if a telescoping series is convergent or divergent by first finding an expression for the nth partial sum, and then taking its limit as n approaches infinity. If you need an intro to infinite series, check out this video lecture first: https://youtu.be/GFWWoDymGv0 Don't forget to LIKE, Comment ...
YouTube
· Apr 5, 2022