A newly born rabbit is capable of reproducing at one month old (when it matures). Suppose the rabbit never dies, and it continues reproducing one new rabbit every month. So, when the rabbit is born, it has one member in its own family. After a month, it matures, and by the second month it adds a new born member to its family. In the third month, the rabbit produces another offspring; its first child also matures and will be ready to have an offspring in the next month.
The sequence named by Fibonacci (1,1,2,3,5,8,13,21,…) can describe the number of members in the rabbit’s family at each month. Explain how.
Extension” collapse_text=”Extension” ] Compare the ratio of consecutive numbers in this sequence. For example 1/1, 1/2, 2/3, 3/5, 5/8, …. What do you notice after a while?