To determine The first five partial sums for the sequence a n = 1 2 n + 5 . Explanation Given: The n th term is a n = 1 2 n + 5 . Definition used: “Partial sum: The n th partial sum of a sequence ∑ i = 1 ∞ a i is given by S n = a 1 + a 2 + a 3 + … + a n .” Calculation: Evaluate the first partial sum as follows. S 1 = 1 2 ( 1 ) + 5 = 1 2 + 5 = 1 7 Therefore, the first partial sum is 1 7 _ . Evaluate the second partial sum as follows. S 2 = 1 2 ( 1 ) + 5 + 1 2 ( 2 ) + 5 = 1 2 + 5 + 1 4 + 5 = 1 7 + 1 9 = 9 + 7 63 = 16 63 Therefore, the second partial sum is 16 63 _ . Evaluate the third partial sum as follows. S 3 = 1 2 ( 1 ) + 5 + 1 2 ( 2 ) + 5 + 1 2 ( 3 ) + 5 = 1 2 + 5 + 1 4 + 5 + 1 6 + 5 = 1 7 + 1 9 + 1 11 = 99 + 77 + 63 693 = 239 693 Therefore, the third partial sum is 239 693 _

Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)

11th Edition

ISBN: 9780133886849

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 12.4, Problem 17E

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The first five partial sums for the sequence an=12n+5.

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Chapter 12.4, Problem 16E

Chapter 12.4, Problem 18E

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Chapter 12 Solutions

Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)

Ch. 12.1 - Find the first four terms of the sequence having...Ch. 12.1 - Prob. 2YT Ch. 12.1 - Prob. 3YT Ch. 12.1 - Prob. 4YT Ch. 12.1 - Prob. 5YT Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - List the first n terms of the geometric sequence...Ch. 12.1 - Prob. 5E

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