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Chapter 12: Q 99. (page 1184)

Find the eighth term of a sequence where the seventh term is −8 and the common difference is −5. Give the formula for the general term.

Short Answer

Expert verified

The eighth term is -13 and the general term is an=−5n+27.

Step by step solution

01

Step 1. Given Information. 

The seventh term is −8 and the common difference is −5.

02

Step 2. Find the first term by using the arithmetic formula. 

Substitute 7 for n, -5 for d, and the seventh term is -8, in the formula an=a1+n−1d.

a7=a1+7−1−5−8=a1−30a1=22

03

Step 3. Find the eighth term.

Use the first term and the common difference to find the eighth term.

a8=22+8−1−5=22−35=-13

04

Step 4. Find the general terms.

To find the general terms, substitute the first term 22 and the common difference -5 in the formula.

an=22+n−1−5=22−5n+5=−5n+27

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Most popular questions from this chapter

In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.

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