要简算
问题描述:
要简算
1/1*2*3+1/2*3*4+1/3*4*5+...+1/98*99*100+1/99*100*101
答
(4/1*2*3*4+1/1*2*3*4)+(6/3*4*5*6+3/3*4*5*6)+……+(100/97*98*99*100+97/97*98*99*100)+1/99*100*101=1/2(1/1*2-1/3*4)+1/2(1/3*4-1/5*6)+……+1/2(1/97*98-1/99*100)+1/99*100*101=1/2(1/1*2-1/3*4+1/3*4-1/5*...