1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+.+1/96*97+1/97*98=

来源：学生作业帮助网 编辑：作业帮 时间：2024/04/28 04:57:09
1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+.+1/96*97+1/97*98=

1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+.+1/96*97+1/97*98=
1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+.+1/96*97+1/97*98=

1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+.+1/96*97+1/97*98=
1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+.+1/96*97+1/97*98
=1－½＋½－1／3＋1／3－¼＋¼－1／5＋···＋1／97－1／98
=1－1／98
=97／98

1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+。。。。+1/96*97+1/97*98 =1/2-1/3+1/3-1/4+……+1/97-1/98
=1/2-1/98
=24/49