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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

2 3 2 8 . Geometric Sequence?Find the first five terms of the sequence, and determine whether it is geometric. If it is geometric, find the common ratio, and express the n th term of the sequence in the standard form a n = a r n 1 .

a n = n n .

To determine

To find:

The first five terms of the sequence an=nn, the nature of the sequence, common ratio, and express the nth term of the sequence in the standard form.

Explanation

Approach:

(1) The nth term of a geometric sequence is defined as-an=arn1.

(2) The sequence is geometric if the ratio of every two consecutive terms of the sequence is same.

Calculation:

The first five terms are:

a1=1

a2=22=4

a3=33=27

a4=44=256

a5=55=3125

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