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Math Help - Recursive!!! Am I doing this right??

  1. #1
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    Recursive!!! Am I doing this right??

    Q: Find f(1), f(2), f(3), f(4), and f(5) if f(n) is defined recursively by f(0) = 3
    and for n = 0, 1, 2, …
    a.) f(n + 1) = -2f(n)
    __________________________________________________ _______________
    a.)
    f(n + 1) = -2f(n)
    f(0 + 1) = -2f(0)
    f(1) = -2(3)
    f(1) = - 6

    f(n + 1) = -2f(n)
    f(1 + 1) = -2f(1)
    f(2) = -2(-6)
    f(2) = 12

    f(n + 1) = -2f(n)
    f(2 + 1) = -2f(2)
    f(3) = -2(12)
    f(3) = -24

    f(n + 1) = -2f(n)
    f(3 + 1) = -2f(3)
    f(4) = -2(-24)
    f(4) = 48

    f(n + 1) = -2f(n)
    f(4 + 1) = -2f(4)
    f(5) = -2(48)
    f(5) = -96
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  2. #2
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    Quote Originally Posted by Grillakis View Post
    Q: Find f(1), f(2), f(3), f(4), and f(5) if f(n) is defined recursively by f(0) = 3
    and for n = 0, 1, 2, …
    a.) f(n + 1) = -2f(n)
    __________________________________________________ _______________
    a.)
    f(n + 1) = -2f(n)
    f(0 + 1) = -2f(0)
    f(1) = -2(3)
    f(1) = - 6

    f(n + 1) = -2f(n)
    f(1 + 1) = -2f(1)
    f(2) = -2(-6)
    f(2) = 12

    f(n + 1) = -2f(n)
    f(2 + 1) = -2f(2)
    f(3) = -2(12)
    f(3) = -24

    f(n + 1) = -2f(n)
    f(3 + 1) = -2f(3)
    f(4) = -2(-24)
    f(4) = 48

    f(n + 1) = -2f(n)
    f(4 + 1) = -2f(4)
    f(5) = -2(48)
    f(5) = -96
    Looks OK.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    Looks OK.
    just wanted to know if im on the right track because I have b, c, and d with different function. Thanks
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