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Math Help - inductive definition

  1. #1
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    inductive definition

    Find an inductive definition for each set S

    a. {0,2,4,6,8...}
    b. {...-7,-4,-1,2,5,8...}
    c. {1,3,7,15,31,63...}
    d. {3,4,5,8,9,12,16,17...}
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  2. #2
    nvv
    nvv is offline
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    Hi, cj's mom.
    If I understand You correctly:

    a. xi = i * 2 | i = 0, inf
    b. xi = x(i-1) + 3 | i = -inf, inf
    (i-1) - index
    c. x0 = 1
    xi = 2*x(i-1) + 1
    (i-1) - index
    d. I think here is not enough members to define set. Have You some another members?
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