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# 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.

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