   Chapter 13.3, Problem 48E ### 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

# Which term? The second and fifth terms of a geometric sequence are 30 and 3750 , respectively. Which term of the sequence is 468 , 750 ?

To determine

The term of the geometric sequence of 468,750.

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, 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 second term of a geometric sequence is 30 and the fifth term of a geometric sequence is 3750.

Calculation:

Calculate the second term of the geometric sequence.

Substitute 30 for a2 and 2 for n in equation (1).

30=ar21ar=30……(2)

Calculate the fifth term of the geometric sequence.

Substitute 3750 for a5 and 5 for n in equation (1).

3750=ar51ar4=3750……(3)

Divide the equation (3) by equation (2).

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