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Chapter 12: Q 89. (page 1184)

Find the twenty-first term of a sequence where the first term is three and the common difference is eight.

Short Answer

Expert verified

163

Step by step solution

01

Step 1. Given Information. 

The first term is three and the common difference is eight.

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 twenty-first term. 

Substitute 3 for the first term, 8 for d, and 21 for n in the above formula.

a21=3+21−18=3+160=163

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