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1994+1/2-(1+1/3)+(2+1/2)-(3+1/3)+(4+1/2)-(5+1/3)+.+(1992+1/2)-(1999+1/3)
题目详情
1994+1/2-(1+1/3)+(2+1/2)-(3+1/3)+(4+1/2)-(5+1/3)+.+(1992+1/2)-(1999+1/3)
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答案和解析
1994+1/2-(1+1/3)+(2+1/2)-(3+1/3)+(4+1/2)-(5+1/3)+.+(1992+1/2)-(1999+1/3)
=1994+(2-1)+(4-3)+(6-5)+.+(1992-1991)-1999+(1/2-1/3)*997
=1994+996-1999+997/6
=990+166+1/6
=1156+1/6
=1994+(2-1)+(4-3)+(6-5)+.+(1992-1991)-1999+(1/2-1/3)*997
=1994+996-1999+997/6
=990+166+1/6
=1156+1/6
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