Fibonacci Sequence

Fibonacci Sequence

GCSE(F), GCSE(H),

A Fibonacci sequence is created by adding the value of the previous two terms to create the value of the next term. The Fibonacci sequence is:
1, 1, 2, 3, 5, 8, 13, 21 ...

Note that the Fibonacci sequence requires two value (1, 1) to start it. Alternative sequences can be obtained by using different start numbers.

Examples

1. What is the next term in the Fibonacci sequence 8, 13, 21, 34?

Answer: 55

Take the previous two terms 21 + 34 = 55.

2. Is 100 a value in the Fibonacci sequence?

Answer: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144: the value is not in the series