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Math Help - Functions

  1. #1
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    Functions

    A function f(n), defined for positive integers n, always has integer values. The function has the property that f(kn)= k^2f(n) + r, where r is one of the integers 0, 1, 2, 3.... ( k^2-1). If f(119)= 626, then f(17) =

    a) 10 b) 11 c) 12 d) 13 e)14
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  2. #2
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    Actually I figured it out
    It's 12 .
    I worked backwords..
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  3. #3
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    Quote Originally Posted by foreverbrokenpromises View Post
    A function f(n), defined for positive integers n, always has integer values. The function has the property that f(kn)= k^2f(n) + r, where r is one of the integers 0, 1, 2, 3.... ( k^2-1). If f(119)= 626, then f(17) =

    a) 10 b) 11 c) 12 d) 13 e)14
    f(kn)= k^2f(n) + r,
    where r is one of the integers 0, 1, 2, 3.... ( k^2-1).

    f(119)= 626

    119 = 7 x 17

    f( 7 \times 17 ) =

    7^2 \times f (17) + r

     \frac {626}{49} = 12 with remainder of 38

    thus

    Spoiler:

    f(17) = c
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