   Chapter 13.2, Problem 34E ### 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

# 33-44 Terms of an Arithmetic sequence Determine the common difference, the fifth terms, the n th terms and the 100 th term of the arithmetic sequence. − 1 , 11 , 23 , 35 , …

To determine

The common difference, the fifth terms, the nth terms and the 100th term of the arithmetic sequence 1,11,23,35,.

Explanation

Approach:

The common difference of an arithmetic sequence is the difference between two consecutive terms.

An arithmetic sequence is a sequence of the form,

a,a+d,a+2d,a+3d,a+4d,

Where, a is the first term of the sequence and d is the common difference of the sequence.

The nth term of the arithmetic sequence is given by,

an=a+(n1)d(1)

Calculation:

Consider the sequence,

1,11,23,35,

The first term of the sequence, a is 1.

The common difference of the sequence is,

d=11(1)=11+1=12

The fifth term of the sequence is,

a5=35+d

Substitute 12 for d in above equation,

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