6. Sum Square Difference

The sum of the squares of the first ten natural numbers is,

12+22+...+102=385.

The square of the sum of the first ten natural numbers is,

(1+2+...+10)2=552=3025.

Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025385=2640.

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.

6. 和平方与平方和之差

前十个正整数的平方之和是:

12+22+...+102=385.

前十个正整数的和的平方是:

(1+2+...+10)2=552=3025.

所以,前十个正整数的和的平方,与前十个正整数的平方之和的差是 3025385=2640

求:前一百个正整数的和的平方,与前一百个正整数的平方之和的差。


这个链接 回到源站。

这个链接 回到详细版题目目录。