Solution

152928

Problem
Fibonacci Surprises Back to problem
First name
Lucy Sutton
School
Wycombe high School
Country
England
Age
0

If you add any 6 consecutive numbers in the Fibonacci sequence and divide by four, it will always be an integer.

E.g

If you do 8+13+21+34+55+89=220 220/4=55

You will also notice that 55 is the penultimate number in these 6 number. This is because you add all of the first 4 numbers to get the 5th number and as you divide by four you will get the 5th number.