数学题1992+1991+1990-1989-1988-1987+1986+1988。通过
1992+1991+1990-1989-1988-1987+1986+1985+1984-1983-1982-1981+...+6+5+5-3-2-1
=(1992-1989)+(1991-1988)+(1990-1987)+..+(6-3)+(5-2)+(4-1)
=3+3+3+..+3
=3×1992/2
=2988
1-1/n^2=(n^2-1)/n^2 =(n-1)/n *(n+1)/n
(1-1/2*1/2)*(1-1/3*1/3)*....(1-1/2005*1/2005)
=1/2 *3/2 *2/3*4/3 *3/4*5/4*.......*2004/2005 *2006/2005
=1/2 *2006/2005
=1003/2005
=1003/2005
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