Question

What is the general term of this suit `5/3, 7/8, 9/15, 11/24, 13/35` ?

Answer 1

See below.

Explanation:

Calling `a_k = n_k/d_k` we have the recurrence relationship

`a_(k+1) = (n_k+2)/(n_k + d_k)`

with

`a_1 = 5/3`

This is a convergent sequence because

`0 < cdots < a_(k+1) < a_k`