A commercial sewing machine costs $18 000 when new. Its value depreciates by $200 for every 1000 pairs of jeans that are sewn using it. Let Vn be the value (in dollars) of the sewing machine after n thousand pairs of jeans have been sewn. A recurrence relation that models the depreciating value of the sewing machine over time is: Vo = 18,000 Vn+1 = Vn - 200 Use the recurrence relation to find the value of the sewing machine after it has sown 5000 pairs of jeans. The sewing machine will be sold after it has produced 20 000 pairs of jeans. How much will it be worth then? If the sewing machine continues to depreciate at the same rate for the rest of its life, how many pairs of jeans will it take to have zero value? A different model of sewing machine costs $20 000 and depreciates by $250 for every 1000 pairs of jeans that are sewn using it. write down a recurrence relation to model this situation

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