Sn=3^n-1
则:
a(n) = S(n) - S(n-1)
=3^n-3^(n-1)
=2*3^(n-1)
则
(a2009+a2011)/a2010
= (2*3^2008+2*3^2010)/(2*3^2009)
= 10/3