Question

What is the third term of the sequence described by the following explicit formula? an = 9 + (n - 1)8

Answer 1

Answer: Solve for a: a =
`(8n+1)/(n)`

Solve for n:
`n=(1)/(a-8)`

Explanation:

solve for n: Move all terms to the left side and set them equal to zero. Then set each factor equal to zero.

solve for a: Divide each term in an = 9 + (n−1) ⋅ 8 by n and simplify.