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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

45-50 Finding Terms of an Arithmetic sequence Find the indicated terms of the arithmetic sequence with the given description.

The 50 th term is 1000 , and the common difference is 6 . Find the first and second terms.

To determine

The first and second term of the arithmetic sequence in which 50th term 1000, and the common difference is 6.

Explanation

Approach:

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:

Substitute 1000 for an, 50 for n and 6 for d in equation (1), to calculate the first term a,

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Chapter 13 Solutions

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