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Chapter 11: Q36. (page 581)

Find the indicated term of each arithmetic sequence.

a1=52,d=鈭�32,n=11

Short Answer

Expert verified

The indicated term of the arithmetic sequence is鈭�252 .

Step by step solution

01

Step 1. Given Information.

Given indicated term of arithmetic sequence is a1=52,d=鈭�32,n=11

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=52

The common difference is d=鈭�32

And the required term is n=11

Plugging the values in the formula:

an=a1+(n鈭�1)da11=52+(11鈭�1)(鈭�32)a11=52+(10)(鈭�32)a11=52鈭�302a11=鈭�252

03

Step 3. Conclusion.

Hence, the indicated term of the arithmetic sequence is 鈭�252.

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