(1/8+1/24+1/48+1/80+1/120+1/168+1/224+1/288)*128
问题描述：
(1/8+1/24+1/48+1/80+1/120+1/168+1/224+1/288)*128
答
(1/8+1/24+1/48+1/80+1/120+1/168+1/224+1/288)*128=(1+1/3+1/6+1/10+1/15+1/21+1/28+1/36)*16=(1+1/3+1/6+1/5*5/6+1/7*7/12+1/36)*16=(1+1/3+1/6+1/6+1/12+1/36)*16=(1+2/3+1/9)*16=256/9
答
原式=1/2(1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10+1/10-1/12+1/12-1/14+1/14-1/16+1/16-1/18)*128
=1/2(1/2-1/18)128
=1/2(4/9)128
=4/9*64
=256/9
答
（1/8+1/24+1/48+1/80+1/120+1/168+1/224+1/288)×128=128×(1/8)[1+1/3+1/6+1/10+1/15+1/21+1/28+1/36] =128×(1/8)[1+2(1/(2×3)+1/(3×4)+1/(4×5)+1/(5×6)+1/(6×7)+1/(7×8)+1/(8×9)] =128×(1/8)[1+2(1/2-1/...