1. The problem statement, all variables and given/known data If a0=1, and a1=2, and an=(a(n-1))^2/an-2 for n>=2, prove by induction that an=2^n for n>=0 2. Relevant equations 3. The attempt at a solution (B) a0=1=2^0=1 yes is true a1=2=2^1=2 yes is true (I) ak=(2k-1)^2/2k-2=2k Is it true that what I solved. It seems very easy. I started first with a(k+1)=(a(k+1-1))^2/a(k+1-2)= (2k)^2(k-1)=2(k+1) Please someone help if I am doing something wrong. I will appreciate. Thank you.