Question

The sum of the series $\frac { 2 } { 3 } + \frac { 8 } { 9 } + \frac { 26 } { 27 } + \frac { 80 } { 81 }$ + …….. + up to

n terms, is

• A. n + $\frac { 1 } { 2 }$(3ⁿ – 1)
• B. n – $\frac { 1 } { 2 }$(3ⁿ – 1)
• C. n – $\frac { 1 } { 2 }$(3^–n – 1)
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

$\left( 1 - \frac { 1 } { 3 } \right) + \left( 1 - \frac { 1 } { 9 } \right)$ + …………. + upto n terms

= n –