Explanation Given: The n t h term of series is given by a n = 2 n − 1 . We have a n = 2 n − 1 , so we find the first 5 terms by substituting n from 1 to 5 in a n and write the series. First we need to check whether the given series is an arithmetic series. That is we need to find the difference between consecutive terms of the sequence and see whether they are COMMON. If they are not common, we have to add the numbers in the sequence directly instead of using the arithmetic series formula. Formula used: The common difference is given by d = a 2 − a 1 = a 3 − a 2 The sum of n numbers in Arithmetic Progression Series is S n = n 2 ( 2 a + ( n − 1 ) d ) Where n the number of terms is, a is the first term of the arithmetic series d is the common difference. Calculation: Description Sum of the series: S n = n 2 ( 2 a + ( n − 1 ) d ) Step 1: Finding the first 5 terms by substituting 1 to 5 in a n a n = 2 n − 1 a 1 = 2 ( 1 ) − 1 = 1 a 2 = 2 ( 2 ) − 1 = 3 a 3 = 2 ( 3 ) − 1 = 5 a 4 = 2 ( 4 ) − 1 = 7 a 5 = 2 (...

College Algebra with Modeling & Visualization (5th Edition)

5th Edition

ISBN: 9780321826138

Author: Gary K. Rockswold

Publisher: PEARSON

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Chapter 8.2, Problem 9E

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To find the sum $S_{5}$ .

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Chapter 8 Solutions

College Algebra with Modeling & Visualization (5th Edition)

Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

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To find the sum $S_{5}$ .