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11 June, 07:48

If f (1) = 6 and f (n) = -5f (n-1) - 4 then find the value of f (5)

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  1. 11 June, 08:01
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    3126

    Step-by-step explanation: f (1) = 6 and f (n) = 5f (n-1) - 4. This means that next number is 5 times previous number minus 4.

    f (2) = 5f (1) - 4 = 5x6-4 = 30-4 = 26

    f (3) = 5f (2) - 4 = 5x26-4 = 130-4 = 126

    f (4) = 5f (3) - 4 = 5x126-4 = 630-4 = 626

    f (5) = 5f (4) - 4 = 5x626-4 = 3130-4 = 3126
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