The Rabbit Problem is a complicated one. The problem is set up by staring with two rabbits: one male and one female. At the end of every month, they can reproduce: one male and one female. The reproduction starts happening to this pattern:

After a year, the amount of bunnies that is produced is 233.

## WAIT, HEY LOOK! IT’S THE FIBONACCI SEQUENCE!

The **Fibonacci Sequence **is the sequence of numbers where the sum of the previous two numbers is the next number in the series. So, 0+1 = 1, 1+1 = 2, 1+2 = 3, 2+3 = 5, and so on. This sequence goes on forever and even occurs in nature! Cool right?

*Now what does this have to do with honeycombs?*

As the question states, you can either start at cell 1 or cell 2. To get to cell 1, there is only one way. To get to cell 2, there are two ways, to get to cell three, there are 3 ways. Guess what, to get to cell 4, THERE WILL BE 5 WAYS. Freaky stuff right? I thought so too.

So the question asks, how many paths are there to cell n? The number of paths to cell n is equal to the sum of paths to cell n-1 and n-2. Thanks to this website, we can find an actual equation for this nth path, which is:

This formula is known as **Binet’s Formula. **