Hello, rtblue!
Is there a typo?
Shouldn't the third fraction be
We have: .
. . . . ,. . . .[1]
Subtract [2]-[3]: .
. . . . . . . . . . . . .
. . . . . . . . . . . . .
Substitute into [1]: .
I do not believe there is a typo, but I am taking the question from an online source, so there might be some error there. Anyways, the answer given to my question is 2. Also, i have noticed that the numerators form the fibonacci series. I am not sure if this helps though.