Let {s n } be a sequence such that |s n +1 s n | lt; 2 n for all n N. Prove that {s n } is a Cauchy sequence and hence converges.’

nLet {sn} be a sequence such that |sn+1 xe2x88x92 sn| < 2xe2x88x92n for all n xe2x88x88 N. Prove that {sn} is a Cauchy sequence and hence converges. '