   Chapter 13.3, Problem 58E ### 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

# SKILLS53-58 ■ Partial Sums of a Geometric Sequence Find the sum. 10800 + 1080 + 108 + ⋯ + 0.000108

To determine

The partial sum of the geometric sequence.

Explanation

Approach:

The nth term of the geometric sequence is given as,

an=arn1 ……(1)

Here, an is the nth term of the geometric sequence.

The partial sum of a geometric sequence is given as,

Sn=a1rn1r ……(2)

Here, Sn is the partial sum of nth term of the geometric sequence, n is the number of terms, a is the first term of the sequence and r is the common ratio of the sequence.

Given:

The partial sum of the geometric sequence is given as,

10800+1080+108++0.000108

Calculation:

Since the first term of the sequence is 10800 and the common ratio is 110. Then,

Calculate the term of the geometric sequence.

Substitute 10800 for a, 110 for r and 0.000108 for an in equation (1) to calculate the term of the sequence.

0.000108=10800(110)n1(110)n1=0

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