The Fibonacci sequence was first discovered during a study of rabbits. If newborn rabbits become adults in one month, each pair of adult rabbits produces one pair each month, and no rabbits die, then how many pairs of rabbits would be produced after thirteen months?

There will be 233 pairs of rabbits would be produced after thirteen months.

Step-by-step explanation:

Consider the provided information.

In the Fibonacci sequence we can find the next term by adding the two numbers before it.

Let us consider that we have 1 pair of newborn rabbits in first month.

Then in the second month they will fully grow.

On the next month 1 more pair of baby rabbits were born.

Next month the baby rabbits were grown and the first pair had two more baby rabbits.

Thus the sequence will look like:

Sequence: 1, 1, 2, 3

It is given that the it follows the Fibonacci sequence. Now use the above rule to generate the Fibonacci sequence.

The required Sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ...

We need to find the number of pairs of rabbits would be produced after thirteen months.

Now from the above sequence we can find the number of rabbits produced after thirteen months.

Hence, there will be 233 pairs of rabbits would be produced after thirteen months.