   Chapter 13.1, Problem 27E ### 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

# 27-38 nth term of a Sequence Find the nth term of a sequence whose first several terms are given. 2 , 4 , 6 , 8 , …

To determine

The nth term of a sequence whose first several terms are 2,4,6,8,

Explanation

Given:

The first several terms of the sequence are

2,4,6,8,

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:

The difference between the consecutive terms is 2.

Substitute 2 for a1 and 2 for d in equation (1)

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