虫群之心技能选择:2002*(1-1/3)*(1-1/4)*(1-1/5)*.....*(1-1/2002)=?

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=2002*[2/3*3/4*...*2001/2002]
=2002*(2/2002)
=2
看到题后不要慌,如果没思路,就把式子动一动,
动几下发现规律就迎刃而解了.

2

中间可以化间啊
得 2 啊!!

2002*(1-1/3)*(1-1/4)*(1-1/5)*.....*(1-1/2002)
=2002*(2/3)*(3/4)*(4/5)*.....*(2000/2001))*(2001/2002)
=2

2002*(1-1/3)*(1-1/4)*(1-1/5)*.....*(1-1/2002)=? 计算（1/2+1/3+......+1/2002)(1+1/2+1/3+......+1/2001)-(1+1/2+......+1/2002)(1/2+1/3+....+1/2001) 求(1-1/2+1/3-1/4+...+1/1999)/(1/2000+1/2002+1/2004+...+1/3998) 1/(1*2)+1/(2*3)+1/(3*4)+......+1/(2002*2003)=/ 1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5 )+...+1/(2000*2001)+1/(2001*2002)= (1/2005-1)(1/2004-1)........(1/3-1)(1/2-1) 计算:(1/2004-1)(1/2003-1)(1/2002-1)'''(1/2-1) 1/1×2+1/2×3+1/3×4+1/4×5+1/5×6……+1/2002×2003+1/2003×2004 计算1+2+3+...+2002+2003+2002+...+3+2+1 1+1/(1+2)+1/(1+2+3)+...+1/(1+2+3+...+100)