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In exchange for payments of n to be made at the end of n years, 2n at the end of 2n years, . . .,

In exchange for payments of n to be made at the end of n years, 2n at the end of 2n years, . . ., n2 at the end of n2 years, you agree to pay a single payment equal to the total amount n + 2n + + n2 at time t. Find the value of t by the method of equated time.

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