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A series of deposits each of value and made at equal time

Question: Find the indicated quantities.

A series of deposits, each of value and made at equal time intervals, earns an interest rate of I for the time interval. The deposits have a total value of

A(1 + i) + A(1 + i)² + A(1 + i)³ + . . . . . + A(1 + i)ⁿ

After n time intervals (just before the next deposit). Find a formula for this sum.

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Mathematics: A series of deposits each of value and made at equal time

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