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91Ó°ÊÓ

Find the twenty-third term of a sequence where the first term is six and the common difference is four.

Short Answer

Expert verified

96

Step by step solution

01

Step 1. Given Information.  

The first term is six and the common difference is four.

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 twenty-third term.  

Substitute 6 for the first term, 4 for d, and 23 for nin the above formula.

a23=6+23−14=6+88=94

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