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数学王子高斯在求S=1+2+…+99+100时所用到的方法给我们留下了深刻印象.由于上式也可逆向写成S=100+99+…+2+1,两式相加得2S=(1+100)+(2+99)+…+(99+2)+(100+1),由于1+100=2+99=…
We are impressed by the method used by the mathematical Prince Gauss in finding S = 1 + 2 + ... + 99 + 100. Since the above equation can also be written inversely S = 100 + 99 + ... + 2 + 1, The summation is 2S = (1 + 100) + (2 + 99) + ... + (99 + 2) + (100 + 1), since 1 + 100 = 2 + 99 =