I do not need excel solution. Please give me the theoretical solution.

Nancy deposits 1000 into a fund for 15 years. The fund pays interest at the end of each 6-month period at a nominal rate of interest convertible semiannually . The interest payments are reinvested in a separate fund earning interest at nominal rate of 8% convertible semiannually. The total value of the original investment is 2682.55. Calculate i^(2)