Exam 9: Section 2: Infinite Series

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Suppose an electronic games manufacturer producing a new product estimates the annual sales to be 4,000 units. Each year 20% of the units that have been sold will become inoperative. So, 4,000 units will be in use after 1 year, Suppose an electronic games manufacturer producing a new product estimates the annual sales to be 4,000 units. Each year 20% of the units that have been sold will become inoperative. So, 4,000 units will be in use after 1 year,   units will be in use after 2 years, and so on. How many units will be in use after n years? units will be in use after 2 years, and so on. How many units will be in use after n years?

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Find the sum of the convergent series. Find the sum of the convergent series.

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Suppose the winner of a $4,000,000 sweepstakes will be paid $100,000 per year for 40 years, starting a year from now. The money earns 5% interest per year. The present value of the winnings is Suppose the winner of a $4,000,000 sweepstakes will be paid $100,000 per year for 40 years, starting a year from now. The money earns 5% interest per year. The present value of the winnings is   Compute the present value using the formula for the nth partial sum of a geometric series. Round your answer to two decimal places. Compute the present value using the formula for the nth partial sum of a geometric series. Round your answer to two decimal places.

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