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Cook up a math practice storm with our arithmetic sequence word problems worksheets and find the next three terms or the specific term in a given sequence.

This set of arithmetic sequence worksheets is meticulously designed by math experts that will immensely benefit 7th grade, 8th grade, and high school students. Students can get plenty of practice with a number of exercises like finding arithmetic sequence, identifying the first term, common difference and number of terms; finding the next three terms of a sequence, recursive formula and much ...

Arithmetic sequences worksheets including practice finding the common difference for a sequence of numbers, or finding arbitrary nth terms in an arithmetic sequence given its formula definition.

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. Arithmetic sequences worksheets help students build basic ideas on sequences and series in mathematics.

Find the common difference and the next three numbers in each arithmetic sequence.

More Practice Problems with the Arithmetic Sequence Formula Direction: Read each arithmetic sequence question carefully, then answer with supporting details.

Arithmetic Sequence and Series Word Problems 1. There are 125 passengers in the first carriage, 150 passengers in the second carriage and 175 passengers in the third carriage, and so on in an arithmetic sequence. What’s the total number of passengers in the first 7 carriages?

For each of the problems below: A. Identify whether the pattern is arithmetic or geometric. B. Determine if you need to calculate a term in a sequence C. Solve the problem. or the value of a series. 1. An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and so on and has 30 rows of seats.

ARITHMETIC SEQUENCES & SERIES WORKSHEET The general term of an arithmetic sequence is given by the formula an = a1 + (n - 1)d where a1 is the first term in the sequence and d is the common difference. Finding the sum of a given arithmetic sequence: 1. Identify a1, n, and d for the sequence. 2. Find an using an = a1 + (n - 1)d.

Arithmetic Sequence Word Problems Worksheet - Examples with step by step solution

Given the first term and the common difference of an arithmetic sequence find the first five terms and the explicit formula. 5) 1 = 24, = 2 6) 1 = −15, = −5 7) 1 = 18, = 10 8) 1 = −38, = −100 Given a term in an arithmetic sequence and the common difference find the first five terms and the explicit formula. 9) 36 = −276, = −7 10) 37 = 249, = 8 11) 38 = −53.2, = −1.1 12) 40 ...

That our free, printable arithmetic sequence worksheets cover everything from basic to advanced makes them an across-the-board resource, requiring children to do little extra practice. Students will work their way through finite and infinite arithmetic sequences determining the first term, common difference, nth term or general term, number of terms, a specific term, the next three consecutive ...

Practice arithmetic sequences and series with this worksheet. Find nth terms, sums, and solve problems. High School level.

For each arithmetic sequence, find the term named in the problem, the explicit formula, and the recursive formula.

2. You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. What is the total distance the object will fall in 6 seconds? 3. The sum of the interior angles of a triangle is 180o, of a quadrilateral is 360o and of a pentagon is 540o ...

Showing top 8 worksheets in the category - Arithmetic Sequence Word Problems. Some of the worksheets displayed are 9 11 sequences word, Arithmetic sequences series work, Arithmetic sequences date period, Arithmetic sequence, Geometric sequences and series, Sequences work 1, 501 math word problems, Arithmetic and geometric series work 1. Once you find your worksheet, click on pop-out icon or ...

to 8 terms 5. Find the sum of the positive terms of the arithmetic sequence 85, 78, 71, ... 6. The 10th term of an arithmetic sequence is 10 and the sum of the first 10 terms is -35. Find the first term a1, and the common difference, d, of the sequence. 7. How many terms of the arithmetic sequence {1,3,5,7,...} will give a sum of 961? 8.

Displaying all worksheets related to - Arithmetic Sequence Word Problems. Worksheets are 9 11 sequences word, Arithmetic sequences series work, Arithmetic sequences date period, Arithmetic sequence, Geometric sequences and series, Sequences work 1, 501 math word problems, Arithmetic and geometric series work 1. *Click on Open button to open and print to worksheet.

This document contains a 12-question arithmetic sequences worksheet with the following information: 1) Questions 1-4 ask students to determine if sequences are arithmetic and find the common difference. 2) Questions 5-8 give arithmetic sequences with formulas and ask students to find terms. 3) Questions 9-12 give the first term, common difference, and ask students to write the formula and find ...