Consider a monotone sequence ak with positive terms for whic

Consider a monotone sequence {a_k} with positive terms for which the ratio between successive terms a_k and a_k+1 satisfies (for all k) a_k+1/a_k > 1 The classification is: increasing decreasing nondecreasing nonincreasing divergent

Solution

k+1th term is strictly larger than kth term

Hence the sequence is strictly increasing or simply increasing ie option a)