Solution to recursively defined sequence Given the sequence an defined recursively as - a1=21 - ak=ak1+k(k+1)1 for every integer k>1 You will now use iteration to guess a solution for this sequence: 1. Calculate a2,a3,a4. Show all the steps in your derivations. Your answers should be in the form of simplified fractions. 2. Based on this pattern, guess an analytical solution for this sequence