   Chapter 13.CT, Problem 4CT ### 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

# A geometric sequence begins 12 , 3 , 3 4 , 3 16 , 3 64 , … .(a) Find the common ratio r for this sequence.(b) Find a formula for the n th term a n of the sequence.(c) Find the tenth term of the sequence.

To determine

(a)

The common ratio for the sequence 12,3,34,316,364,.

Explanation

Approach:

A geometric sequence is a sequence of the form,

a,ar,ar2,ar3,ar4,

Here, a is the first term and r is the common ratio between two consecutive terms.

Calculation:

The geometric sequence is 12,3,34,316,364,.

Since in the geometric sequence, any two consecutive terms of the sequence differ by the ratio r

To determine

(b)

The formula for the nth term an of the sequence.

To determine

(c)

The tenth term of the sequence.

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