JEE Main & Advanced
Mathematics
Sequence & Series
Question Bank
Numerical Value Type Questions - Progressions
question_answer
Sum of first n positive terms of an A.P. is given by\[{{S}_{n}}=\left( 1+2{{T}_{n}} \right)\left( 1-{{T}_{n}} \right)\]. If the value of \[{{T}_{2}}^{2}\] is \[\frac{\sqrt{2}-1}{k\sqrt{2}}\] then find k.