Answer to Question #308956 in Calculus for Joy

Question

6. Determine whether each of the following statements about Fibonacci numbers is true or false. Note

The first 10 terms of the Fibonacci sequence are 1, 1, 2, 3, 5, 8, 13, 21, 34, and 55.

a. If n is even, then F is an odd number.

b. 2F-Fn-2 = Fn+1 for n 23

Answer 1

a ) false (example n=6 Fn=8)

b)$2F_n-F_{n-2}=F_n+F_{n-1}+F_{n-2}-F_{n-2}=F_{n+1}.$ true