1/2×4+1/4x6+1/6x8+.......1/98x100
答案:2 悬赏:80 手机版
解决时间 2021-03-21 07:37
- 提问者网友:别再叽里呱啦
- 2021-03-20 17:32
1/2×4+1/4x6+1/6x8+.......1/98x100
最佳答案
- 五星知识达人网友:一叶十三刺
- 2021-03-20 18:32
1/2×4+1/4x6+1/6x8+.......1/98x100
=1/2×(1/2-1/4+1/4-1/6+……+1/98-1/100)
=1/2×(1/2-1/100)
=1/2×49/100
=49/200
=1/2×(1/2-1/4+1/4-1/6+……+1/98-1/100)
=1/2×(1/2-1/100)
=1/2×49/100
=49/200
全部回答
- 1楼网友:想偏头吻你
- 2021-03-20 18:53
1/2×4+1/4x6+1/6x8+.......1/98x100
=1/4*[1/2+1/(2*3)+1/(3*4)+……+1/(49*50)]
=1/4*[1/2+1/2-1/3+1/3-1/4+……+1/49-1/50]
=1/4*[1-1/50]
=1/4*49/50
=49/200
=1/4*[1/2+1/(2*3)+1/(3*4)+……+1/(49*50)]
=1/4*[1/2+1/2-1/3+1/3-1/4+……+1/49-1/50]
=1/4*[1-1/50]
=1/4*49/50
=49/200
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