Let {a} be a sequence of real numbers such that lima, a R. For each nN let bn =an-an+1- 16-400 Consider the series bn. 7=] (a) (b) (c) (d) Compute S, (the partial sum of the series bn-) n=1 Compute lim Sn 1148 Prove that b, converges and find its sum. Prove that 1 = n(n+1) converges and find its sum.