Define a1=2, a2 for all natural numbers n. use the principle of complete induction (pci). hint. follow the steps of pci. you need to verify a the statement you (should) prove is a, an+1=5an-6a,-1 for all n> 2 (instead of an 4 and an 5a,-1-6a,-2 for all n > 3. prove a, - 2" when n= 1 and n =2 individually equivalently write 3). 2n. also note that one can 5an-1 6an-2 for all n