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Chapter 11: Q40. (page 581)

Find the indicated term of each arithmetic sequence.

a43 for 5, 9, 13, 17, 鈥�

Short Answer

Expert verified

The indicated term of the arithmetic sequence is173.

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is 5, 9, 13, 17, 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=5

The difference between the first two terms is 9鈭�5=4

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

The common difference is d=4

And the required term is n=43

Plugging the values in the formula:

an=a1+(n鈭�1)da43=5+(43鈭�1)(4)a43=5+(42)(4)a43=5+168a43=173

03

Step 3. Conclusion.

Hence, the indicated term of the arithmetic sequence is 173.

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