A trick with Lucas and Fibonacci numbers

Simon came up with this trick today and had Neva solve his riddle: any Fibonacci number is equal to the sum of its surrounding Lucas numbers divided by 5. And a Lucas number is Phi to the n, rounded to the next integer:

Simon made a game out of this (the purple ones are the Lucas numbers and the red ones are Fibonacci numbers):

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s