   Chapter 13.1, Problem 44E ### 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

# SKILLS43-46 nth Partial Sums Find the first four partial sums and the nth partial of the sequence a n .44. a n = 1 n + 1 − 1 n + 2

To determine

The first four partial sums and nth partial sum of the sequence an=1n+11n+2

Explanation

Approach:

For the sequence,

a1,a2,...,an

The partial sums are,

S1=a1

S2=a1+a2

Sn=a1+a2+...+an

Calculation:

Consider the sequence,

an=1n+11n+2

The first four partial sums of the sequence are,

S1=11+111+2=1213=16

S2=11+111+2+12+112+2=1213+1314=1214=14

S3=11+111+2+12+112+2+13+113+2=1213+1314+1415=1215=310

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