   Chapter 13.2, Problem 64E ### 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

# 57-64 Partial Sums of an Arithmetic Sequence A partial sum of an arithmetic sequence is given. Find the sum. ∑ n = 0 20 ( 1 − 2 n )

To determine

The partial sum of the arithmetic sequence.

Explanation

Approach:

The nth term of an arithmetic sequence in standard form is given by,

an=a1+(n1)d ……(1)

Here, an is the nth term, a1 is the first term, n is the number of terms and d is the difference between two consecutive terms.

The partial sum of an arithmetic sequence is given as,

Sn=n(a+an2) ……(2)

Here, Sn is the partial sum of n terms, n is the number of terms and a is the first term of the sequence.

Given:

The partial sum of an arithmetic sequence is given as,

n=020(12n)

Calculation:

The partial sum of an arithmetic sequence can be written as,

113539

Since from the partial sum of the arithmetic sequence, the first term will be 1 and the common difference between two consecutive terms is 2.

Calculate the nth term of the sequence.

Substitute 39 for an, 1 for a1 and 2 for d in the 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 