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《中学生数学》2005年4月(上)关于求12+22+32+…+n2问题,方法巧妙.下面再给出一种方法,将所求数列之和看成是计算小球的个数问题.将小球按如下方式排列:
“Middle school mathematics” April 2005 (on) on the issue of seeking 12 +22 +32 +... +n2, ingenious. A method is given below to consider the sum of the numbers to be calculated as the number of balls. Put the balls in the following way: