Question

The Fibonacci sequence was rst 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 fourteen months?

Answer 1

Answer: 188 pairs of rabbits would be produced after fourteen months

Given: Newborn rabbits become adults in one month.

Each pair of adult rabbits produces one pair each month.

No rabbits die.

The Fibonacci sequence can be written as :

$X_{n}$ = 0  1  1  2  3  5  8  13  21  34 ..........................

This series can be further written as:

$X_{n}$ = $X_{n-1} + X_{n-2}$

Therefore for n = 14;

$X_{14}$ = 377