1. The problem statement, all variables and given/known data Prove that an+2=an+1+an where a1=1 and a2=1 is monotonically increasing. 2. Relevant equations A sequence is monotonically increasing if an+1≥an for all n[itex]\in[/itex]N. 3. The attempt at a solution Base cases: a1≤a2 because 1=1. a2≤a3 because 1<2. Am I supposed to prove that an≤an+1 now? I'm not sure how to do that.