Question

The Fibonacci sequence is F(n) = F(n-1) + F(n-2).If F(8) = 21 and F(9) = 34, which of the following is true?A. F(10) = 53OB. F(17) = 55C. F(13)=21D. F(10) = 55

Answer 1

Given,

The Fibonacci sequence is F(n) = F(n-1) + F(n-2).

F(8) = 21 and F(9) = 34

To find: Which of the following is true.

Solution:

In a Fibonacci series, the sum of first two terms is equal to the third term.

The next term will always be the sum of the previous two terms.

`\begin{gathered} f(8)+f(9)=f(10) \\ 21+34=f(10) \\ f(10)=55 \end{gathered}`

Hence, the given option D is correct.