Urgent math

Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions.
a2 = 5, a5 = 6.5, n = 15
S15 =

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  1. using the standard notation of a and d,
    a = 5
    a+4d = 6.5
    then 5 + d = 6.5
    d = 1.5

    sum(15) = (15/2)(2(5) + 14(1.5))
    = 232.5

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