(1)2/1+6/1+12/1+20/1+30/1+42/1+56/1+72/1+90/1

问题描述:

(1)2/1+6/1+12/1+20/1+30/1+42/1+56/1+72/1+90/1
(2)已知1×3/2=1/1-3/1,求①1×3/2+3×5/2+5×7/2+7×9/2+9×11/2 的值.
②1×3/1+3×5/1+5×7/1+7×9/1+9×11/1 的值.
(3)计算:4/1+24/1+70/1+130/1+208/1

1,原式=1/(1X2) +1/(2X3) +1/(3X4)+...+1/(9X10)=(2-1)/(1X2) +(3-2)/(2X3)+(4-3)/(3X4)+...+(10-9)/(9X10)=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.-1/10=1-1/10=9/102,略3,=1/(4) +1/(4x6) +1/(7x10) +1/(10x13) +1/(13x1...