Given the functions f (n) = 25 and g (n) = 3 (n - 1), combine them to create an arithmetic sequence, an, and solve for the 12th term.

Question

Mathematics

Jayson

9 March, 07:00

Given the functions f (n) = 25 and g (n) = 3 (n - 1), combine them to create an arithmetic sequence, an, and solve for the 12th term.

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Answers (2)

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Phillip Arellano · Answer 1

Phillip Arellano 9 March, 07:25

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an = 25 + 3 (n - 1); a12 = 58

Holly Davis · Answer 2

An arithmetic sequence can be defined using the first term f (n) and the common difference in the g (n) term. In this case, we have:

a (n) = f (n) + g (n) = 25 + 3 (n-1) = 3n + 22

If we want to find the 12th term, we substitute n = 12 into a (n):

a (12) = 3 (12) + 22 = 36 + 22 = 58