MCQ
$\sum\limits_{n = 1}^\infty {\sum\limits_{k = 1}^{n - 1} {\frac{k}{{{2^{n + k}}}}} } $ ની કિમત મેળવો
- A$\frac {2}{9}$
- ✓$\frac {4}{9}$
- C$\frac {4}{3}$
- D$\frac {2}{3}$
$\sum\limits_{n = 1}^\infty {\frac{1}{{{2^n}}}} \left( {2 - \frac{{n + 1}}{{{2^{n - 1}}}}} \right)$
$\sum\limits_{n = 1}^\infty {\frac{1}{{{2^{n - 1}}}} - \frac{{n + 1}}{{{2^{2n - 1}}}}} = \frac{4}{9}$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
$\left| {\begin{array}{*{20}{c}}
{\log \,{a_n}}&{\log {a_{n + 1}}}&{\log {a_{n + 2}}} \\
{\log {a_{n + 3}}}&{\log {a_{n + 4}}}&{\log {a_{n + 5}}} \\
{\log {a_{n + 6}}}&{\log {a_{n + 7}}}&{\log {a_{n + 8}}}
\end{array}} \right|$ ની કિંમતની મેળવો.
${{\text{T}}_{\text{m}}}\,=\,\,\frac{1}{n}\,$ અને ${{\text{T}}_{\text{n}}}\,=\,\frac{\text{1}}{\text{m}}\text{,}$ હોય,તો ${{\text{T}}_{\text{mn}}}\text{ }......$