   Chapter 13.1, Problem 34E ### 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

# SKILLS27-38 nth term of a Sequence Find the nth term of a sequence whose first several terms are given.34. 3 , 0.3 , 0.03 , 0.003 , …

To determine

The nth term of a sequence whose first several terms are 3,0.3,0.03,0.003,

Explanation

Approach:

A sequence is a function whose domain is the set of natural numbers. The terms of a sequence are the function values,

a1,a2,...,an

Where, a1 is the first term, a2 is the second term and an is the nth term of the sequence.

The formula for geometric sequence is,

an=arn1 (1)

Here a is the first term and r is the common ratio of the geometric sequence.

Calculation:

Consider the first several terms of the sequence,

3,0.3,0.03,0.003,

Each following term is one-tenth of its previous term. So, substitute 3 for a and 110 for r in equation (1)

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 