   Chapter 13.1, Problem 41E ### 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

# SKILLS39-42 Partial Sums Find the first six partial sums S 1 , S 2 , S 3 , S 4 , S 5 and S 6 of the sequence whose nth terms is given.41. 1 3 , 1 3 2 , 1 3 3 , 1 3 4 , …

To determine

The first six partial sums of the sequence 13,132,133,134,

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,

13,132,133,134,

Each term is the power of reciprocal of 3.

The first six partial sums of the sequence are,

S1=13

S2=13+132=13+19=49

S3=13+132+133=13+19+127=1327

S4=13+132+133+134=13+19+127+181=4081

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