(2*5+2)(4*7+2)(6*9+2)······(2010*2013+2)/(1*4+2)(3*6+2)(5*8+2)……(2009*2012+2)

来源:学生作业帮助网 编辑:作业帮 时间:2021/06/16 03:53:13

(2*5+2)(4*7+2)(6*9+2)······(2010*2013+2)/(1*4+2)(3*6+2)(5*8+2)……(2009*2012+2)
(2*5+2)(4*7+2)(6*9+2)······(2010*2013+2)/(1*4+2)(3*6+2)(5*8+2)……(2009*2012+2)

(2*5+2)(4*7+2)(6*9+2)······(2010*2013+2)/(1*4+2)(3*6+2)(5*8+2)……(2009*2012+2)
(2*5+2)(4*7+2)(6*9+2)(8*11+2)……(1994*1997+2)/(1*4+2)(3*6+2)(5*8+2)(7*10+2)……(1993*1996+2)
=(12/6)*(30/20)*(56/42)*.(1994*1997+2)/(1993*1996+2)
=(2/1)*(3/2)*(4/3)*(5/4)*.(997/996)
=997