Please clearly show all steps, do not use excel.

A 5-year annuity has a series of payments 1, 2, 3, 2, 1 with the first payment made at time t = 0 and each subsequent payment occurring one year later than the previous. The present value (i.e. value at time 0) of this annuity is 8.41 using an effective annual interest rate of i. A 6-year annuity has a series of payments 1, 2, 3, 3, 2, 1 with the first payment made at time t = 0 and each subsequent payment occurring one year later than the previous. Find the present value (i.e. value at time 0) of the 6-year annuity at the interest rate i. Give your answer as a decimal rounded to place (i.e. X.X). Note: You can do this problem, but you will eventually need a financial calculator to help solve for i. But, if it seems to be too difficult, you could always use something like Mathematica or Wolfram Alpha to help solve for i or v...good luck