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31 May, 05:51

If a sequence is defined recursively by f (0) = 3 and f (n+1) = - f (n) + 5 for n is equal to or greater than 0, then f (2) is equal to?

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  1. 31 May, 06:16
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    If f (n+1) = - f (n) + 5

    then f (2) = - f (1) + 5

    we don't know f (1) yet. Use the same rule as above:

    f (1) = - f (0) + 5, we do know that f (0) = 3, so f (1) = - 3+5=2

    so f (2) = - f (1) + 5=-2+5=3
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