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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

3-14, Terms of a Sequence Find the first four terms and 100th terms of the sequence whose nth terms is given.

a n = 5 n

To determine

The first four terms and 100th term of the sequence whose nth term is an=5n.

Explanation

Given:

The sequence whose nth term is an=5n.

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.

Consider the nth term of the sequence,

an=5n(1)

Calculation:

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

a1=51=5

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

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