Sequences and Series www.naikermaths.com 8. The third term of a geometric sequence is 324 and the sixth term is 96. (a) Show that the common ratio of the sequence is 3 2. (2) (b) Find the first term of the sequence. (2) (c) Find the sum of the first 15 terms of the sequence. (3) (d) Find the sum to infinity of the sequence. (2) June 09 Q5
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The document is a study guide for sequences and series for Grade 12. It includes exercises on arithmetic sequences and series, geometric sequences and series, and past exam questions. The exercises cover topics such as determining terms, common differences, sums of sequences, writing sequences in sigma notation, and evaluating infinite geometric series. The goal is to help students prepare for ...
Learn more about sequence and series. A sequence is a succession of numbers arranged according to a given rule in an orderly manner. For example, a sequence of square numbers like 1, 4, 9, 16,… in each sequence, there is a general formula to find the next terms in the sequence. A progression is a sequence that follows a particular pattern.
Sequences and Series (Practice Questions) Save. Flashcards. Learn. Test. Blocks. Match. Get a hint. Explicit Formula for Geometric Sequence. Relates any term in a sequence to only the first term and the common ratio. 1 / 25. 1 / 25. Flashcards. Learn.
13. Does the series X∞ n=0 (−1)n 1 √ n2 +1 converge absolutely, converge conditionally, or diverge? Answer: The terms √ 1 n2+1 are decreasing and go to zero (you should check this), so the Alternating Series Test says that the series converges. To see that the series does not converge absolutely, it suffices to show that the series X∞ ...
Precalculus Sequences & Series Test Practice Name_____ Sequence Formulas: a n = a 1 + d (n – 1) 1 1 n a a r n Series Formulas : 1 (1 ) 1 n n ar S r Determine if the sequence is arithmetic or geometric. Find the common difference or the common ratio and write the equation for the nth term. 1) 35, 32, 29, 26, …
Get Sequences and Series Multiple Choice Questions (MCQ Quiz) with answers and detailed solutions. Download these Free Sequences and Series MCQ Quiz Pdf and prepare for your upcoming exams Like Banking, SSC, Railway, UPSC, State PSC.
The sum of the first ten terms in an arithmetic series is 40. The sum of the first twenty terms in the same series is 280. Find the first term, , and the common difference,, of the series.
Sequences and Series Test Review Multiple Choice - Identify the letter of the choice that best completes the statement or answers the question. Write letter answers in the blank. Write an equation for the nth term of the given arithmetic sequence. ____ 1. 6, 11, 16, 21, ... A) a n = 5n − 1 B) a n = 6n − 1 C) a n = 5n + 1 D) a n = 11 n − 5 ...
C1 Sequences and Series Exam Questions - Free download as PDF File (.pdf), Text File (.txt) or read online for free. The document contains 15 multi-part math word problems involving sequences, series, and other concepts. The problems cover topics like finding terms, common differences, sums of sequences and series, and solving recurrence relations.
Chapter 4 : Series & Sequences Here are a set of practice problems for the Series and Sequences chapter of the Calculus II notes. If you ... Alternating Series Test – In this section we will discuss using the Alternating Series Test to determine if an infinite series converges or diverges. The Alternating Series Test can be used only if the ...
Solve these Sequences and Series questions and sharpen your practice problem-solving skills. We have quizzes covering each and every topic of Algebra and other concepts of algebra. ... Root test Quiz 1. 5 Questions • 05:00 minutes. 43 attempted. Start Quiz. mathematics. Sequences Quiz 2. 5 Questions • 05:00 minutes. Start Quiz. mathematics ...
07b. Geometric series − further questions - Answers; 08a. Mixed exam-style questions on series; 08b. Mixed exam-style questions on series - Answers; 09a. Mixed exam-style questions on sequences and series; 09b. Mixed exam-style questions on sequences and series - Answers; 10a. Mixed exam-style questions on sequences and series; 10b. Mixed ...
Consider an arithmetic series and a geometric series having four initial terms from the set {11, 8, 21, 16, 26, 32, 4}. If the last terms of these series are the maximum possible four digit numbers, then the number of common terms in these two series is equal to _____.
