2. For a given number A > 0, consider the recursively defined sequence an+1 = A+ Van -A with do = 2A (a) Compute the sequence elements do, a1, a2, a3, 04 ; then compute an for all n > 0. (b) Determine whether the sequence is: 1. evenutally increasing; 2. evenutally decreasing; 3. neither. Hint: Distinguish between A =0, 0 1. (c) Determine whether the sequence is: 1. bounded below; 2. bounded above; 3. both 4. neither (d) Determine whether the sequence converges