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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

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

2 5 - 2 8 Finding Terms of Arithmetic and Geometric Sequences

Find the indicated term of the arithmetic or geometric sequence with the given description.

The fourth term of an arithmetic sequence is 11 , and the sixth term is 17 . Find the second term.

To determine

To find:

The second term.

Explanation

Given:

The fourth term is a4=11 and the sixth term is a6=17.

Approach:

Since this sequence is arithmetic, its nth term is given by the formula

an=a+(n1)d.

Calculation:

Now,

a4=a+3d=11a6=a+5d=17

This gives

a+3d=11a+5d=17 ...(1)

Solve this system

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Chapter 13 Solutions

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