1/(1*3*5)+1/(3*5*7)+1/(5*7*9)+1/(7*9*11).+(25*27*29)

问题描述:

1/(1*3*5)+1/(3*5*7)+1/(5*7*9)+1/(7*9*11).+(25*27*29)

1/[(2n-1)*(2n+1)*(2n+3)]=1/4[1/[(2n-1)*(2n+1)-1/[(2n+1)*(2n+3)]=]所以,
原始=1/4*(1/1*3-1/3*5+1/3*5-1/5*7.+1/25*27-1/27*29]=1/4*(1/3-1/27*29)=65/783