   Chapter 13.3, Problem 84E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 8 4 . Partial Sum of a Geometric Sequence Find the sum of the first ten terms of the sequence a + b , a 2 + 2 b , a 3 + 3 b , a 4 + 4 b , ...

To determine

To find:

The sum of the first ten terms of the sequence

a+b,a2+2b,a3+3b,a4+4b,...

Explanation

Approach:

For the arithmetic sequence, the nth partial sum is Sn=n(a+an2)

For the geometric sequence, the nth partial sum is Sn=a(1rn1r),r1

Calculation:

a+b+a2+2b+a3+3b+a4+4b+.......+a10+10b(a+a2+a3+......+a10)+b(1+2+3+

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