1/5x8+1/8x11+1/11x14+.+1/98x101=

分类: 作业答案 • 2022-07-12 15:12:33

问题描述：

1/5x8+1/8x11+1/11x14+.+1/98x101=
1/(5x8)+1/(8x11)+1/(11x14)+.+1/(98x101)

答

1/5x8+1/8x11+1/11x14+.+1/98x101
=(3/5*8+3/8*11++3/11*14+.+3/98*101)/3
=(1/5-1/8+1/8-1/11+1/11-1/14.+1/98-1/101)/3
=(1/5-1/101)/3
=96/1515