   Chapter 13.2, Problem 65E ### 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

# 6 5 - 6 6 Adding Terms of an Arithmetic Sequence Find the number of terms of the arithmetic sequence with the given description that must be added to get a value of 2700 .The first term is 5 , and the common difference is 2.

To determine

To find:

Number of terms to be summed up to get a value of 2700.

Explanation

Given:

a=5d=2

Approach:

Use the formula for sum of n terms of an arithmetic sequence and equate it to 2700 and solve for n.

Calculation:

Sum of first n terms of an arithmetic sequence is given by n(2a+(n1)d2)

Substituting given data this expression becomes

n(25+(n1)22)=n(5+n1)=n(n+4)

We equate last expression to 2700 and solve for n

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