Given the sequence defined with the recurrence relation: b0=2bk=3bk1+2kkZk1 Calculate the value for b1,b2,b3,b4. Keeping the intermediate steps will help find the pattern and solve for the next part Using iteration, solve the recurrence relation when n0 (i.e. find an analytic formula for bn ). Simplify your answer as much as possible, showing your work. In particular, your final answer should not contain and . You should not use any non-arithmetic operations like ceil, floor, round, or any if structure. You must show your work to get full marks