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20 March, 07:23

7,13,19,25

Determine the recursive and explicit formulas that describe this sequence.

The recursive function that describes this sequence is f (1) = 7, f (n) = f (n - 1), n ≥ 2.

The explicit function that describes this situation is f (n) = n, and f (10) =

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Answers (1)
  1. 20 March, 10:29
    0
    Given:

    f (1) = 7

    f (n) = f (n-1) for n>=2.

    Since f (n) = f (n-1), so for all values of n >=2, f (n) = f (n-1) = f (n-2) ... f (2) = f (1) = 7

    So the explicit formula is

    f (n) = 7

    and f (10) = 7
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