   Chapter 13.2, Problem 15E ### 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

# 11-16 ■ nth term of an Arithmetic Sequence Find the nth term of the arithmetic sequence with given first term a and common difference d . What is the 10th term? a = 5 2 , d = − 1 2

To determine

The nth term and 10th term of the arithmetic sequence whose first term is 52 and the common difference is 12.

Explanation

Approach:

The nth term of an arithmetic sequence 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.

Calculation:

Calculate the nth term of an arithmetic sequence.

Substitute 52 for a1 and 12 for d in the equation (1) to calculate the nth term.

an=52+(n1)(12)(2)

Calculate the 10th term of the arithmetic sequence

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