1*3+2*4+3*5+4*6+``````19*21+20*22=
人气:129 ℃ 时间:2019-12-18 23:32:03
解答
1*3+2*4+3*5+4*6+``````19*21+20*22
=4-1 +9-1 +16-1 +...+400-1 +441-1
=1²+2²+3²+...+21² -21
=21*(21+1)*(2*21+1)/6 -21
=3311-21
=3290
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