Using the Formulas for finite geometric series:
1. (a) Suppose a principal R is invested at
regular intervals, compounding at a rate R% in
each period, over N periods. Moreover, assume that your compounding period occurs
three times more frequently than your deposits (for example, if you invest quarterly but
compound monthly), and that N is divisible by 3. Write out a sum which describes the
present value of this investment, then use the formula for a nite geometric series to
reduce this to a formula without sums.