公式是正确的，需要稍加触摸。
int people = 20;
float prize = 1000;
float k = (2 * prize) / ((people) * (people - 1));
float sum = 0;
for (int i = 1; i < people; ++i)
{
var personsPrize = i * k;
sum += personsPrize;
Console.WriteLine(personsPrize);
}
Console.WriteLine("sum = " + sum);
602392714
清零编程群