Suppose {an} ∞ n=1 and {bn} ∞ n=1 are sequences such that {an} ∞ n=1 and {an + bn} ∞ n=1 converge. Prove that  {bn} ∞ n=1 converges.

Write out the first five terms of the sequence with, In(n) determine whether the sequence n+1 n=1 converges, and if so find its limit. In(n) Enter the following information for an = n+1 · аз a4 a5 In(n) lim n→00 n +1 |||| ||

Let a1 = 1 and an+1 = [1-1/(n+1)^2]an for all n ≥ 1. 1) Show that the sequence {an}n≥1 converges. 2) Find its limit

to determine if it converges of diverges