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Chapter 11: Q37. (page 581)

Find the indicated term of each arithmetic sequence.

a12 for -17, -13, -9, 鈥�

Short Answer

Expert verified

The indicated term of the arithmetic sequence is27.

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is -17, -13, -9, 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=鈭�17

The difference between the first two terms is (鈭�13)鈭�(鈭�17)=鈭�13+17=4

The difference between the next two terms is (鈭�9)鈭�(鈭�13)=鈭�9+13=4

The common difference is d=4

And the required term is n=12

Plugging the values in the formula:

an=a1+(n鈭�1)da12=鈭�17+(12鈭�1)(4)a12=鈭�17+(11)(4)a12=鈭�17+44a12=27

03

Step 3. Conclusion.

Hence, the indicated term of the arithmetic sequence is 27.

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