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Houses in a new development go on sale initially for an average price of $200,000. At...

Houses in a new development go on sale initially for an average price of $200,000. At the beginning of month 2, the average sale price has risen to $250,000. At the beginning of each succeeding month, the average price increase is half what it was the previous month. a. Write and solve a recurrence relation for M(n), the average sale price at the beginning of month n. b. At the beginning of which month is the average price within $2,000 of $300,000?

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