1. Let a0 and a1 be positive real numbers, and set an+2 = sqrt(an+1) + sqrt(an) for n [tex]\geq[/tex] 0. (a) Show that there is N such that for all n [tex]\geq[/tex] N, an [tex]\geq[/tex] 1. (b) Let en = |an −4|. Show that en+2 [tex]\leq[/tex](en+1 +en)/3 for n[tex]\geq[/tex] N. (c) Prove that this sequence converges. Can someone please give me some hints to start with a)? Thank you in advanced.