Question

The first five terms of a sequence are 2, 5/3, 3/2, 7/5 and 4/3. what is the explicit formula?

Answer 1

D ---- An=( n+3)/(n+1)

Explanation:

on edge

Answer 2

an = (n+3)/(n+1)

Explanation:

The sequence can be written as ...

4/2, 5/3, 6/4, 7/5, 8/6, ...

where the first numerator is n+3 and the first denominator is n+1. Each numerator and denominator increase by 1 from term to term, so the explicit formula can be written

an = (n+3)/(n+1)