Page 98 - NUMINO Challenge_D1

Basic Concepts Pattern in the Breeding of Rabbits

Fibonacci discovered the Fibonacci sequence in the breeding of rabbits.

Now

After A pair of baby rabbits become adults after a
one month month. A pair of adult rabbits have a pair of
baby rabbits after a month.
After
two months

After
three months

Example A pair of baby rabbits become adults after a month. A pair of adult
rabbits have a pair of baby rabbits after a month. If no rabbits die,
Class Notes what is the total number of pairs of rabbits after seven months?

The number of pairs of rabbits after four months is shown below.

Now 1 pair

After pair
one month

After pairs
two months

After pairs
three months

After pairs
four months

The number of pairs of rabbits after 6 months is shown below.

Time Now After After After After After After
1
Number of one month two months three months four months five months six months
pairs of rabbits
1

The number of pairs of rabbits is a sequence, in which each term is the

sum of the two previous terms. Therefore, the number of pairs of rabbits after seven

months is .

95Number Theory