(1-2)(1-3)(3-4)(4-5)...(19-20)=
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(1-2)(1-3)(3-4)(4-5)...(19-20)=(1-2)(1-3)(3-4)(4-5)...(19-20)=(1-2)(1-3)(3-4)(4-5)...(19-20)=前一项跟后一项
(1-2)(1-3)(3-4)(4-5)...(19-20)=
(1-2)(1-3)(3-4)(4-5)...(19-20)=
(1-2)(1-3)(3-4)(4-5)...(19-20)=
前一项跟后一项可以抵销吧
(1) (2) (3) (4) (5)
1)2)3)4)5)
1) 2) 3) 4) 5)
0-(+2/1)-(+5/2)-(-4/3)-(+4/1)-(-5/3)
-1-(-2)-(+3)+(-4)-(-5)
(1-2)(1-3)(3-4)(4-5)...(19-20)=
1/2+(-2/3)-(-4/5)+(-1/2)-(+1/3)
1()2()3()4
(2*3*4*5)*(1/2-1/3-1/4-1/5)
5/9+(3/4-1/2)
4/5+(3/8-1/2)
()2()()()()()8()()()8()5()1()()()1 5 8()4 6 2()2()()1 8 3()()5()()()()4()()()()8()()6 2 5 ()()()15 9 2 4 1 6 7 3 8(
计算 (-1)+(+2)+(-3)+(+4)+(-5)+.+(-2009)+(+2010)
(-1)+(+2)+(-3)+(+4)+(-5)+...+(-2011)+(+2012)
(1-3/2*4)*(1-3/3*5)*...*(1-3/7*9)
(1-3/(2*4))×(1-3/(3*5))×(1-3/(4*6))×.×(1-3/(97*99))=?
(1/3+2/3)+(1/4+2/4+3/4)+(1/5+2/5+3/5+4/5)+.+(1/100+.99/100)=
(-1)*(-2)*(-3)+(-2)*(-3)*(-4)+(-3)*(-4)*(-5)+~+(-100)*(-101)*(-102)