1. The problem statement, all variables and given/known data A sequence (xj) where j can go from 0 to infinity satisfies the following: (1) x1= 1 and (2) for all m≥n≥0, xm+n+ xm-n= (1/2)(x2m+x2n) Find a formula for xj and prove that the formula is correct 2. Relevant equations 3. The attempt at a solution All I have done so far is is play around with m and n values so far and I think a proper formula: xj= j2. Now I would have to prove this (for which I plan to use induction most likely) but I wanted to see if I was on the write track in my thinking.