Mathematical induction should be 1. It holds when n= 1 2. When n=k holds, n=k+ 1 also holds.

First, when n= 1, it is obviously true.

If n=k, it holds, that is, (1/2 * (1-(1/2) k))/(1-1/2) =1-(6544) When 1 holds,

Then n=k+ 1 means1-(1/2) (k+1) =1/2 * (1-(1/2)). 1/2+ 1/2= 1

Then n=k+ 1 holds.

Why do you think you can't use mathematical induction? In fact, you have not grasped the practical significance of mathematical induction.

In fact, this problem can be proved normally without mathematical induction.

Mathematical induction is used when it is difficult to prove that n=k is true (that is, not every number can be proved).

In fact, many ideas are also related to mathematical induction, but they are not the same. For example, in the above solving process, it is considered that the product obtained by multiplying 1 by 1/2 is always less than 1. And mathematical induction is to give a complex formula, no matter what number you substitute, it holds, but you can't say why.