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29 November, 08:16

The Fibonacci sequence is F (n) = F (n - 1) + F (n - 2). If F (7) = 13 and F (8) = 21, which of the following is true?/

A. F (6) = 13

B. F (9) = 32

C. F (15) = 34

D. F (9) = 34

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Answers (2)
  1. 29 November, 08:31
    0
    D. F (9) = 34

    Step-by-step explanation:

    Given,

    F (n) = F (n - 1) + F (n - 2)

    For n = 8,

    F (8) = F (8-1) + F (8-2) = F (7) + F (6)

    ⇒ 13 + F (6) = 21 ⇒ F (6) = 5

    ⇒ Option A is incorrect.

    Now, for n = 9,

    F (9) = F (9 - 1) + F (9 - 2) = F (8) + F (7) = 21 + 13 = 34

    ⇒ Option B is incorrect.

    F (15) ≠ F (9)

    ⇒ F (15) ≠ 34

    ⇒ Option C is incorrect.

    Hence, only option D is correct.
  2. 29 November, 08:41
    0
    e Fibonacci sequence is F (n) = F (n - 1) + F (n - 2). If F (7) = 13 and F (8) = 21, which of the following is true? / B. F (9) = 32
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