{S(0), S(1), S(2), ....., S(n) } is a sequence of real numbers such that:
S(0) = 37, S(1) = 72, ....., S(n) = 0, and:

S(k+1) = S(k-1) – 3/S(k) for k=0,1,2,...., n-1

Find n

(In reply to Spoiler by Jer)

S(n-3)*S(n-2) = 6 actually, not zero.

Edited on January 28, 2016, 10:24 am

Posted by Charlie on 2016-01-28 10:22:55