要简算 1/1*2*3+1/2*3*4+1/3*4*5+...+1/98*99*100+1/99*100*101
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/19 07:40:49
要简算
1/1*2*3+1/2*3*4+1/3*4*5+...+1/98*99*100+1/99*100*101
1/1*2*3+1/2*3*4+1/3*4*5+...+1/98*99*100+1/99*100*101
(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*6+……+1/97*98-1/99*100)+1/99*100*101
=1/2(1/1*2-1/99*100)+1/99*100*101
=1/4-1/99*100*2+1/99*100*101
=1/4-101/99*100*2*101+2/99*100*2*101
=1/4-99/99*100*2*101
=1/4-1/100*101*2
=50*101/200*101-1/200*101
=50*101-1/200*101
=5049/20200
=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*6+……+1/97*98-1/99*100)+1/99*100*101
=1/2(1/1*2-1/99*100)+1/99*100*101
=1/4-1/99*100*2+1/99*100*101
=1/4-101/99*100*2*101+2/99*100*2*101
=1/4-99/99*100*2*101
=1/4-1/100*101*2
=50*101/200*101-1/200*101
=50*101-1/200*101
=5049/20200
要简算 1/1*2*3+1/2*3*4+1/3*4*5+...+1/98*99*100+1/99*100*101
计算:101-100+99-98+...+5-4+3-2+1
(1+1/1*3)*(1+1/2*4)*(1+1/3*5).(1+1/98*100)*(1+1/99*101)
(1+1/1+3)*(1+1/2*4)*(1+1/3*5)*.*(1+1/98*100)*(1+1/99*101)
1/1*2*3+1/2*3*4+1/3*4*5+...+1/99*100*101
1/1*2*3+1/2*3*4+1/3*4*5+.1/99*100*101
1+2+3+4+.99+100+99+98+97.+1
1*2/1+2*3/1+3*4/1+.98*99/1+99*100/1=?
1/1×2+1/2×3+1/3×4+1/4×5+.+1/98×99+1/99×100=?
1/1*2+1/2*3+1/3*4+1/4*5+.1/98*99+1/99*100=?
1*1-2*2+3*3-4*4+...+99*99-100*100+101*101
1*2*3+2*3*4+3*4*5+4*5*6+.+97*98*99+98*99*100+99*100*101