arithmetic

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Please complete the following sequence so that, after the first two terms, each successive term is the average of all the preceeding terms. 20__ __ 28 __ __

  • arithmetic -

    If the sequence is 20 x y 28 ... then
    y = (20+x)/2 = 10 + x/2
    28 = (20+x+y)/3 = (20+x+10+x/2)/3 = 10+x/2
    18 = x/2
    x=36
    y=28

    20 36 28 28 28 28

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