1-2+3-4+5-6+...+(-1)n+1n(n为正整数)

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1-2+3-4+5-6+...+(-1)n+1n(n为正整数)
1-2+3-4+5-6+...+(-1)n+1n(n为正整数)

1-2+3-4+5-6+...+(-1)n+1n(n为正整数)
若n为偶数,-n/2.若n为奇数,(n+1)/2

(-1/4)+5/6+2/3-1/2 2/3,1,6/5,4/3,( ),3/2 1.(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)=2.(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)*(1/2+1/3+1/4+1/5)= 1234567654321*(1+2+3+4+5+6+7+6+5+4+3+2+1) 1/2*1/3+1/3*1/4+1/4*1/5+1/5*1/6 (简便方法) 1/6【1/4{1/3(1/2X-1)+3}+5】=1 1 3/4-5/6-(+1 1/6)-(-1/2) 1/2 + 1/6 + 1/12 + 1/20 + 1/30+ 1/42 + 1/56 + 1/72=(1+ 1/2+ 1/3+ 1/4+ 1/5)×(1/2+ 1/3+ 1/4+ 1/5+ 1/6)-(1+ 1/2+ 1/3+ 1/4+1/5+ 1/6)×(1/2+ 1/3+ 1/4+ 1/5) 1/2*1/15+1/3*1/2 6-(3/4-2/5) 1/6+1/5+1/2 4/5+11/15+3/10 1/(1*3)+1/(2*4)+1/(3*5)+1/(4*6)+...+1/(8*10)=? 1/(1×2×3)+1/(2×3×4)+1/(4×5×6)、、、、+1/(48×49×50) (1 3 5 .1991)-(2 4 6 .1990) 1/2+2/+3/4+4/5+5/6+6/7的平方+1/2*(1/2+2/3+3/4+4/5+5/6+6/7)-(1+1/2+2/3+3/4+4/5+5/6+6/7)……(1/2+2/+3/4+4/5+5/6+6/7的平方)+1/2*(1/2+2/3+3/4+4/5+5/6+6/7)-(1+1/2+2/3+3/4+4/5+5/6+6/7)*(3/2+4/3+5/4+6/5+7/6)求急! (1/2+2/3+3/4+4/5+5/6)除以1/60 (简便计算) (1+2+3+4+5+6+5+4+3+2+1)除以(666666乘以666666) 巧算:(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5-1/6)-(1/6+巧算:(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5-1/6)-(1/6+1/7)-(1/7+1/8) 有理数加减计算:-1/3-1/2+5/6-(-3/4) ,1-2+3-4+5-6+.+99-100 (1+2/1)(1+4/1)(1+6/1).(1+10/)(1-3/1)(1—5/1).(1-9/1)