Sir i am stuck for this question only need answer no explanation

( 4 mark ) You are given that the sequence {an },-0 100 satisfies the condition an + 1 = 4an + 5an-1 where ag = 4 and a] = 12 i) It can be shown that an > 5? for all n e N . Hence, we can conclude that the sequence fan in-0 diverges to oo diverges to co ii) Find the following limit (you may assume that the limit e converges lim diverges to -00 n->OO is boundedly divergent iii) Using mathematical induction, or otherwise, show that an > 5", Vn E N. Give your full reasoning in the Essay Box below.(4 mark ) You are given that the sequence {an}00 21)_0satisfies the condition an+1 = 4an + 5an-1 where ag = 4 and a1 = 12 i) It can be shown that an > 5? for all n E N Hence, we can conclude that the sequence fan},-o Click for List ii) Find the following limit (you may assume that the limit exists). an+1 lim Number an iii) Using mathematical induction, or otherwise, show that an > 5", Vn E N. Give your full reasoning in the Essay Box below