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1/(1*2)+1/(2*3)+1/(3*4)...1/(100*101)这道题我忘记咋做了求过程和答案!
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1/(1*2)+1/(2*3)+1/(3*4)...1/(100*101)这道题我忘记咋做了求过程和答案!
▼优质解答
答案和解析
算这题前 你先算算这个
1/(1*2)=1/2
1/(1*2)+1/(2*3)=2/3
1/(1*2)+1/(2*3)+1/(3*4)=3/4
所以
1/(1*2)+1/(2*3)+1/(3*4)...1/(100*101)=100/101
1/(1*2)=1/2
1/(1*2)+1/(2*3)=2/3
1/(1*2)+1/(2*3)+1/(3*4)=3/4
所以
1/(1*2)+1/(2*3)+1/(3*4)...1/(100*101)=100/101
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