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Chapter 11: Q. 32 (page 586)

Find the indicated term of each arithmetic sequence.

a1=鈭�4,d=鈭�9,n=20

Short Answer

Expert verified

The indicated term of the arithmetic sequence is-175.

Step by step solution

01

Step 1. Given Information.

Given indicated term of arithmetic sequence is a1=鈭�4,d=鈭�9,n=20

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�4

The common difference is d=鈭�9

And the required term is n=20

Plugging the values in the formula:

an=a1+(n鈭�1)da20=鈭�4+(20鈭�1)(鈭�9)a20=鈭�4+(19)(鈭�9)a20=鈭�4鈭�171a20=鈭�175

03

Step 3. Conclusion.

Hence, the indicated term of the arithmetic sequence is -175.

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