The sum of the series `2/3+8/9+(26)/(27)+(80)/(81)+`to `n`terms is`n-1/2(3^(-n)-1)`(b) `n-1/2(1-3^(-n))`(c) `n+1/2(3^n-1)`(d) `n-1/2(3^n-1)`

The sum of the series `2/3+8/9+(26)/(27)+(80)/(81)+`to `n`terms is`n-1

1.	The sum of the series `2/3+8/9+(26)/(27)+(80)/(81)+`to `n`terms is`n-1/2(3^(-n)-1)`(b) `n-1/2(1-3^(-n))`(c) `n+1/2(3^n-1)`(d) `n-1/2(3^n-1)`
Answer» `2/8+8/9+26/27+80/81+...` `1-1/3+1-1/9+1-1/27+...` `1-1/(3k)` `sum_(k=1)^(n)1-1/(2k)=n-[1/3((1-(1/3)^n)/(1-1/3))]=n-[(1/3)/(2/3)(1-3^(-n))]` `=n-1/2[1-3^(-n)]`.