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

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

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.