求数列{nxn}的前n项和,首先想到的是错位相减法,这是数列求和最常见方法之一.文[1]中作者归纳了数列{nxn}(x≠0且x≠1)的前n项和的另外四种求法,文[2]介绍了微积分方法求数列{nxn}的前n项和,这些方法开阔了师生的思维视野.受文[1]、文[2]的启发,本人对数列{nxn}的前n项和的求法继续补充,以供教学中参考. The first n-sum of the {nxn}, and the first one to think of is the dislocation subtraction, which is one of the most common ways of summing columns. The author of [1] summarized the sequence {nxn} (x ≠ 0 and x ≠ 1 ) And the other four kinds of method, article [2] introduced the calculus method to find the first n terms of {nxn}, and these methods broaden the field of thinking of teachers and students.Fu Wen [1], Wen [ 2], I continued to supplement the first n items of the series {nxn} for reference in teaching.