The cost of maintaining a home generally increases as the home becomes older. Suppose that the maintenance costs increase at a rate of 1600e0.4x (dollars per year) when the home is x years old. (a) Find a formula for the total maintenance cost during the first x years. (Total maintenance should be zero at x = 0.)     M(x)=     (b) Use your answer to part (a) to find the total maintenance cost during the first 6 years. (Round your answer to the nearest dollar.)

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.