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Chapter 12: Q 92. (page 1184)

Find the fortieth term of a sequence where the first term is −19 and the common difference is seven.

Short Answer

Expert verified

254

Step by step solution

01

Step 1. Given Information. 

The first term is −19 and the common difference is seven.

02

Step 2. Formula used.

Write the formula of an arithmetic sequence.

an=a1+n−1d

Where a1 is the first term and d is a common difference.

03

Step 3. Find the fortieth term.

Substitute -19 for the first term, 7 for d, and 40 for nin the above formula.

a40=−19+40−17=−19+273=254

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