Math

Find the 10th partial sum of the arithmetic sequence defined by (An)={1/2n-1/2}

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  1. a(1) = (1/2)(1) - 1/2 = 0
    a(2) = (1/2)(2) - 1/2 = 1/2
    a(3) = (1/2)(3) - 1/2 = 1
    ....
    looks like an arithmetic sequence with a = 0, d = 1/2

    sum(n) = (n/2)(2a + (n-1)d )

    your turn .....

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  2. So 4.5?

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  3. no, how did you get 4.5 ???

    sum(10) = 5(0 + 9(1/2))
    = 5(4.5)
    = 22.5

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