将循环转换为数学方程式 [英] Convert loop into mathematical equation

问题描述

如何用数学方程式表示for循环?

How would I represent this for loop in a mathematical equation?

double n = 1;
    double x = Math.pow(3, n);
    for(double i = 0; i < n; i++){
        x = x + Math.pow(3, i);
    }

抱歉，我们急忙用Java编写了它.

Sorry wrote it in Java in a hurry.

推荐答案

for循环可以简化为

for loop can be simplifed to

x= (pow(3,n)-1)/2

我在这里仔细检查过:

I have double checked this here:
http://www.wolframalpha.com/input/?i=sum+pow%283%2Ci%29+for+i+from+0+to+%28n-1%29

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