数学归纳法是用来证明某些与自然数有关的数学命题的一种推理方法,在解数学题中有着广泛的应用.它是一个递推的数学论证方法,论证的第一步是证明命题在n=1(或n0)时成立,这是递推的基础;第二步是假设在n=k时命题成立,再证明n=k+1时命题也成立,这是无限递推下去的理论依 Mathematical induction is a kind of reasoning method used to prove some mathematical propositions related to natural numbers, which has a wide range of applications in solving mathematical problems.It is a recursive method of mathematical argumentation.The first step is to prove that the proposition n = 1 (or n0), which is the basis of recursion. The second step is to suppose that proposition holds when n = k, and prove proposition n = k + 1, which is the theory of infinite recursion according to