Question

When is f n likely to be divisible by 7, based on the examination of the Fibonacci sequence?

a) Odd indices
b) Even indices
c) Prime indices
d) μltiples of 3

Answer 1

The Fibonacci sequence is divisible by 2 at even indices and divisible by 7 at prime indices.

Step-by-step explanation:

Fibonacci sequence is a sequence of numbers in which each number is the sum of the two preceding ones. If we examine the Fibonacci sequence, we find that every third number is divisible by 2, so the Fibonacci sequence is divisible by 2 at even indices. On the other hand, every 8th number is divisible by 7, so the Fibonacci sequence is divisible by 7 at prime indices. Therefore, the answer iss b) Even indices and c) Prime indice.