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Chapter 11: Q38. (page 581)

Find the indicated term of each arithmetic sequence.

a12 for 8, 3, -2, 鈥�

Short Answer

Expert verified

The indicated term of the arithmetic sequence is-47.

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is 8, 3, -2, 鈥�

02

Step 2. Calculation.

The nth term of an arithmetic sequence is given by an=a1+(n鈭�1)d.

Here the first term is a1=8

The difference between the first two terms is 3鈭�8=鈭�5

The difference between the next two terms is 鈭�2鈭�3=鈭�5

The common difference is d=鈭�5

And the required term is n=12

Plugging the values in the formula:

an=a1+(n鈭�1)da12=8+(12鈭�1)(鈭�5)a12=8+(11)(鈭�5)a12=8鈭�55a12=鈭�47

03

Step 3. Conclusion.

Hence, the indicated term of the arithmetic sequence is -47.

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