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30 November, 01:55

If f (1) = 9 and f (n) = - 2 f (n-1) then find the value of f (6)

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  1. 30 November, 02:12
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    f (6) = 2304

    Step-by-step explanation:

    hello:

    f (1) = 9 and f (n) = - 2 f (n-1) so f is the geometric seqeunce the common ratio is : r = - 2

    the nth term is : f (n) = f (1) (-2) ^ (n-1)

    when n=6 : f (6) = 9 (-2) ^8 = 2304
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