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1.兔子繁殖问题和斐波那契数列在斐波那契的《算经》中,记载着大量的代数问题及其解答,对于各种解法都进行了严格的证明.下面是书中记载的一个有趣的问题:已知一对兔子每个月可以生一对小兔子,而一对兔子出生后在第二个月就开始生小兔子.假如一年内没有发生死亡现象,那么,一对兔子一年内能繁殖成多少对?我们先找出兔子的繁殖规律,在第一个月,有一对成年兔子,第二个月它们生下一对小兔,因此有二对兔子,一对成年,一对未成年;到第三个月,第一对
1. Rabbit Reproduction Problem and Fibonacci Sequence In Fibonacci’s “Computational Circumstances”, a great deal of algebraic problems and their solutions are documented and strict proofs have been given for various solutions. An interesting question: Known to a pair of rabbits each month can give birth to a pair of rabbits, and a pair of rabbits born in the second month after the birth of a small rabbit.If there is no death within a year, then a pair of rabbits In the first month, we have a pair of adult rabbits. In the second month they give birth to a pair of rabbits, so we have two pairs of rabbits, one pair of adults, A pair of minors; to the third month, the first pair