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8 July, 16:47

Give a recursive definition for the set Y of all positive multiples of 9. That is, Y = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, ... }. Your definition should have a base case and a recursive part.

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  1. 8 July, 20:02
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    Recursion means defining something, such as a function, in terms of itself. So Y = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, ... }

    Let f (0) = 0

    So f (n + 1) = f (n) + 9

    f (1) = f (0) + 9 = 0 + 9 = 9

    f (2) = f (1) + 9 = 9 + 9 = 18
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