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Chapter 12: Q 94. (page 1184)

Find the fourteenth term of a sequence where the first term is eight and the common difference is −3.

Short Answer

Expert verified

-31

Step by step solution

01

Step 1. Given Information. 

The first term is eight and the common difference is −3.

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 fourteenth term. 

Substitute 8 for the first term, -3 for d, and 14 for nin the above formula.

a14=8+14−1−3=8+13−3=8−39=-31

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