Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
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Textbook Question
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Chapter B, Problem 32AYU

In Problems 29-32, find the first five terms in the sequence of partial sums for each series.

k = 1 k 2

Expert Solution
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To determine

To find: The first five terms in the sequence of partial sums for each series.

Answer to Problem 32AYU

Solution:

The first five terms in the sequence of partial sums for each series is 1, 5, 14, 30, 55.

Explanation of Solution

Given:

k = 1k2

Calculation:

k = 1k2 = 12 + 22 + 32 + 42 + 52 + 62 + 72 +  ....

k = 1k2 = 1 + 4 + 9 + 16 + 25 + 36 + 49 + 

The first five terms in the sequence of partial sums for each series is

11 + 4 = 51 + 4 + 9 = 141 + 4 + 9 + 16 = 301 + 4 + 9 + 16 + 25 = 55

The first five terms in the sequence of partial sums for each series is 1, 5, 14, 30, 55.

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