   Chapter 11, Problem 17RE

Chapter
Section
Textbook Problem

# Determine whether the series is convergent or divergent.17. ∑ n = 1 ∞ cos 3 n 1 + ( 1.2 ) n

To determine

Whether the series is convergent or divergent.

Explanation

Result used:

(1)“Suppose that an and bn are the series with positive terms,

(a) If bn is convergent and anbn for all n , then an is also convergent.

(b) If bn is divergent and anbn for all n , then an is also divergent.”

(2) The geometric series n=1arn1 is convergent if |r|<1 and divergent if |r|>1 .

Theorem used:

If the series an converges absolutely, then it is convergent.

Calculation:

The given series n=1an=n=1cos3n1+(1.2)n .

|cos3n1+(1.2)n|11+(1.2)n<1(1.2)n=(11

### 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

#### In Exercises 4562, find the values of x that satisfy the inequality (inequalities). 46. 6 4 + 5x

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### In Problems 15-28, find the general solution to the given differential equation.

Mathematical Applications for the Management, Life, and Social Sciences

#### If f(x) = 2e3x, f(x) = a) 2e3x b) 2xe3x c) 6e3x d) 6xe3x

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 