(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-99/100)
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(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-99/100)(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-99/100)(1-1/4)乘以(1-1/
(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-99/100)
(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-99/100)
(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-99/100)
题目有问题,前后数没有规律,不能确定个数.
(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-1/100)
=(1*3/2^2)*(2*4/3^2)*(3*5/4^2)*(4*6/5^2)*.......*(99*101/100^2)
=(1/2)*(101/100)
=101/200高手就是高手啊 4+43+443+...+4444444443 ?9×3+4+40×9+400×8+400...
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(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-1/100)
=(1*3/2^2)*(2*4/3^2)*(3*5/4^2)*(4*6/5^2)*.......*(99*101/100^2)
=(1/2)*(101/100)
=101/200
收起
(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-1/100)
=(1-(1/2)²)*(1-(1/3)²)*(1-(1/4)²)*...*(1-(1/10)²)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)....(1-1/10)(1+1/10)
=1/2*(3/2*2/3)*(4/3*3/4)*(5/4*...*9/10)*11/10
=1/2*11/10
=11/20
1乘以2乘以3+2乘以3乘以4+3乘以4乘以5+...+7乘以8乘以9
1乘以2乘以3乘以4乘以5乘以...乘以2010的末尾有( )个连续的零.
(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-99/100)
9分之4乘以( )=( )乘以8=1=0.5乘以( )
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