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13 October, 18:52

A sequence is defined recursively using the formula f (n + 1) = f (n) - 5. Which sequence could be generated using this formula?

*1, - 5, 25, - 125, ...

*2, 10, 50, 250, ...

*3, - 2, - 7, - 12, ...

*4, 9, 14, 19, ...

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  1. 13 October, 20:26
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    When you substitute n=1,2,3, ... in the formula, we get

    f (2) = f (1) - 5

    f (3) = f (2) - 5

    f (4) = f (3) - 5

    and so on which shows that any term in the sequence is 5 less than its predecessor. So for the answer, you need to look for a sequence which is decreasing by 5.
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