HINTS:

This is like an IQ test: Find similarities of series (3/2, 7/5, 17/2, 41/29,...)

For example with 7/5:

Numerator (N) 7 = 3 + 2 x 2

Denominator (D) 5 = 3 + 2

Then we got:

N[i] = N[i-1] + 2*D[i-1]

D[i] = N[i-1] + D[i-1]

Then you can solve yourself