math question?

i have limited time

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  • 3 months ago

    a) S(10) = 5 - (7/10^2) = 493/100 = 4.93

        S(16) - S(3) = [(5 - (7/16^2) - (5 - (7/3^2))] = 1729/2304

    b) a(3) = S(3) - S(2) = [(5 - (7/3^2)) - (5 - (7/2^2)] = 35/36

    c) a(n) = S(n) - S(n-1) = [[5 - (7/n^2) - (5 - (7 / (n-1)^2)] = - 7/n^2 + 7/(n-1)^2

    d) 5.  Simply take the limit as n goes to infinity of S(n).

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