So then we have one juvenile on March,

one juvenile peer one adult peer this adult peer

is still the same adult peer we had in February and

two total rabbit peers.

So in April then this adult peer will again give birth to a juvenile pair

of rabbits, and this juvenile pair then will mature into adults.

So we have one juvenile pair, two adult pairs, and

then three total rabbits, and the population precedes like this.

So the adult pairs always give birth on this

the female of the adult pair of rabbits.

Always gives birth to new born rabbits and

the new born rabbits the month always mature into adults.

So if we continue, we can fill up the table and

the answer to Fibonacci's problem is on January 1st of the next year,

we'd already have 233 rabbit pairs.

So in 1 calendar year, we've gone from

1 rabbit pair to 233 rabbit pairs.

The population is growing very fast, we use the term breeding like rabbits.

Because rabbit population can grow very fast

because you can have new born rabbits every month.

So let's look at the numbers,

let's look at the total number of rabbit pairs.

This is a sequence down here in the last row.

The sequence goes like, 1, 1, 2, 3, 5, 8, 13, 21, 34, 35.

This is a number sequence.

This is called the Fibonacci Sequence.

The Fibonacci Sequence has a very characteristic pattern.

If we look at starting with this number 2, we see that this number 2 is 1 plus 1.

It's the sum of the preceding two numbers, and if we continue,

the number 3 is 1 plus 2.

The number 5 is 2 plus 3,

the number 8 is 3 plus 5, 13 is 5 plus 8.

So every number then is the sum of the preceding two numbers.

We can write that as an equation.