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1+2+3=6=2/(1+3)乘31+2+3+4=10=2/(1+4)乘4,则1+2+3+.+n=2/(1+n)乘n.用这条规律求2+3+...+1000
题目详情
1+2+3=6=2/(1+3)乘3 1+2+3+4=10=2/(1+4)乘4,则1+2+3+.+n=2/(1+n)乘n.用这条规律求2+3+...+1000
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答案和解析
2+3+...+1000
=1+2+3+...+1000-1
=(1+1000)/2*1000-1
=1001*500-1
=500500-1
=500499
=1+2+3+...+1000-1
=(1+1000)/2*1000-1
=1001*500-1
=500500-1
=500499
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