Question

The sum to n terms of the series $\frac { 2 } { 3 } + \frac { 8 } { 9 } + \frac { 26 } { 27 } + \frac { 80 } { 81 } + \ldots \ldots$ is equal to

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

Answer 1

Answer: (D)

None of these

Answer 2

= n –

= n – $\frac { 1 } { 2 } \left( 1 - \frac { 1 } { 3 ^ { n } } \right)$