   Chapter 13.3, Problem 11E ### 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

# SKILLS9-12 ■ nth Term of a Geometric Sequence Find the nth term of the geometric sequence with given first term a and the common ratio r . What is the fourth term? a = 5 2 , r = − 1 2

To determine

To find:

The nth term of the geometric sequence with the first term a and common ratio r and fourth term of the geometric sequence.

Explanation

Given:

The first term is,

a=52

And the common ratio is,

r=12

Approach:

If a and r are the first term and the common ratio of a geometric sequence respectively, then the nth term of the geometric sequence is given as follows,

an=arn1(1)

Calculation:

The nth term of the geometric sequence is given as follows,

Substitute 52 for a and 12 for r in equation (1).

an=(52)(12)n1(2)

The fourth term is given by,

Substitute 4 for n in equation (2)

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