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18 June, 11:18

Create a number sequence that has a first term equal to - 10 and has a recursive rule of subtract 2

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  1. 18 June, 11:30
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    The number sequence is - 10, - 12, - 14, - 16, ...

    Step-by-step explanation:

    The sequence has - 10 as the first term.

    So, f (0) = - 10 and the recursive rule of the function is of subtract 2.

    Hence, f (n + 1) = f (n) - 2 ... (1)

    Now, putting n = 1 in equation (1) we get, f (1) = f (0) - 2 = - 10 - 2 = - 12

    Again, putting n = 2, we get, f (2) = f (1) - 2 = - 14

    Now, putting n = 3, we get, f (3) = f (2) - 2 = - 16 and so on.

    Therefore, the number sequence is - 10, - 12, - 14, - 16, ... (Answer)
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