“……”是省略的意思,因为这组数有规律所以可以省略
1/2+1/6+1/12+1/20+1/30+...1/90
=1/(1*2)+1/(2*3))+1/(3*4)+...+1/(9*10)
=1/2+1/2-1/3+1/3-1/4+1/4...-1/9+1/9-1/10
=1-1/10
=9/10
它的规律就是第n项是1/(n(n+1))
“……”是省略的意思,因为这组数有规律所以可以省略
1/2+1/6+1/12+1/20+1/30+...1/90
=1/(1*2)+1/(2*3))+1/(3*4)+...+1/(9*10)
=1/2+1/2-1/3+1/3-1/4+1/4...-1/9+1/9-1/10
=1-1/10
=9/10
它的规律就是第n项是1/(n(n+1))