# What is the general term of this sequence?

Could you help me to find the general term of the sequence:

## 1 , \frac{5}{3} , 1 , \frac{15}{17} , 1 , \frac{37}{35} , 1 , \frac{63}{65} ,... ##

Thank you!

mfb
Mentor
There are infinitely many general expressions for series which begin like that.
If you look for the "easiest" expression, there could be something simple, but I don't see it at the moment.
The numerator seems to follow the pattern (same as denominator, 2 more, same, 2 less, same, 2 more, ...).
I don't see a clear pattern for the denominator, however.

I don't see a clear pattern for the denominator, however.

Perfect squares? How? I don't see it

MarneMath