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Chapter 12: Q 12.30. (page 1178)

Find the eighteenth term of a sequence where the first term is 13 and the common difference is −7.

Short Answer

Expert verified

-106

Step by step solution

01

Step 1. Given Information.

The first term is 13 and the common difference is -7.

02

Step 2. Formula used.

Write the formula of an arithmetic sequence.

an=a1+n−1d

Wherea1 is the first term andd is a common difference.

03

Step 3. Find the eighteenth term. 

Substitute 7 for the first term, 9 for d, and 18 for thenabove formula.

a18=13+18−1−7=13-119=-106

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