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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

1-6 Terms of a Sequence Find the first four terms as well as the tenth term of the sequence with the given n th term.

a n = ( 1 ) n 2 n n

To determine

The first four terms and tenth terms of the sequence have nth term an=(1)n2nn.

Explanation

Given:

Approach:

A sequence is a function whose domain is the set of natural numbers. The terms of a sequence are the function values,

a1,a2,...,an

Where, a1 is the first term, a2 is the second term and an is the nth term of the sequence.

Calculation:

Consider the nth term,

an=(1)n2nn (1)

Substitute 1 for n in equation (1), to calculate first term,

a1=(1)1211=2

Substitute 2 for n in equation (1), to calculate second term,

a2=(1)2222=42=2

Substitute 3 for n in equation (1), to calculate third term,

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Chapter 13 Solutions

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