(1+1/3)(1+1/3^3)=1+1/3+1/3^3+1/3^4
(1+1/3)(1+1/3^3)(1+1/3^5)=1+1/3+1/3^3+1/3^4+1/3^5+1/3^6+1/3^8+1/3^9
...
(1+1/3+1/3^2+...+1/3^n)x2/2-(1/3^2+1/3^7+...+1/3^(5n+2))x(3^5-1)/(3^5-1)=(2+2/3+2/3^2+...+2/3^n)/2-((3^5-1)/3^2+(3^5-1)/3^7+...+(3^5-1)/3^(5n+2))/(3^5-1)
=3/2-3^5/(3^5-1)=3/2-243/242