Prove F n ≤ (7/4) n for all n, 0≤n F n = F n-1 + F n-2 Let
P(n) be true for some n = k, for 0≤k Let n = k+1 F k+1 ≤ (7/4) k+1 LHS: F k+1 = F k + F k-1 ≤ F k-1 + (7/4) k ≤ (7/4) k-1 + (7/4) k This last line is where I'm stuck, I feel like either I messed up early on, or I'm missing a way of simplifying this to look like ...