jee-main 2013 Q65

jee-main · India · 09apr Sequences and Series Evaluation of a Finite or Infinite Sum
The sum of the series: $1 + \frac { 1 } { 1 + 2 } + \frac { 1 } { 1 + 2 + 3 } + \ldots\ldots$. upto 10 terms, is:
(1) $\frac { 18 } { 11 }$
(2) $\frac { 22 } { 13 }$
(3) $\frac { 20 } { 11 }$
(4) $\frac { 16 } { 9 }$
The sum of the series: $1 + \frac { 1 } { 1 + 2 } + \frac { 1 } { 1 + 2 + 3 } + \ldots\ldots$. upto 10 terms, is:\\
(1) $\frac { 18 } { 11 }$\\
(2) $\frac { 22 } { 13 }$\\
(3) $\frac { 20 } { 11 }$\\
(4) $\frac { 16 } { 9 }$