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3 June, 15:42

For a sequence defined by f (1) = 13 and 2f (n-1) + (n-2), which of the following is the value of f (4)

(1) 53

(2) 76

(3) 108

(4) 126

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Answers (1)
  1. 3 June, 17:09
    0
    Given that:

    f (1) = 13 and 2f (n-1) + (n-2)

    then:

    f (4) will be found as follows:

    f (2) = 2f (2-1) = 2f (1) = 2*13=26

    f (3) = 2f (3-1) + (3-2) = 2f (2) + 1=2*26+1=53

    f (4) = 2f (4-1) + (4-2) = 2f (3) + (4-2) = 2 (53) + 2=108

    Thus:

    Answer: (3) 108
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