
Growth of a Rabbit Colony A colony of rabbits begins with one pair of mature rabbits, which produces a pair of offspring (one male, one female) each month. Assume that all rabbits mature in

The number of pairs of mature rabbits after
Answer to Problem 85AYU
Solution:
There will be
Explanation of Solution
Given information:
A colony of rabbits begins with one pair of mature rabbits, which produces a pair of offspring (one male, one female) each month. Assume that all rabbits mature in
Explanation:
By observing the provided figure, In the first month, there is only one pair of mature rabbits.
In the second month, there is one pair of mature rabbits and one pair of offspring.
In the third month, there are two pairs of mature rabbit and one pair of offspring.
In the fourth month, there are three mature pairs with two pairs of offsprings.
Thus, in each next month the number of pairs is just the addition of pairs in the previous two months.
This information is represented by the recursive sequence
Here,
Similarly,
Therefore, there will be
Chapter 12 Solutions
Precalculus
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