Question

What is the next fraction in this sequence? Simplify your answer.

3
13
,
11
39
,
1
3
,
5
13
, ...

Answer 1

17/39

Explanation:

The fractions appear to be 9/39, 11/39, 13/39, 15/39, ..., so can be described by ...

(2n+7)/39

so, for n=5, the fraction will be ...

(2·5+7)/39 = 17/39