JEE Main & Advanced
Mathematics
Binomial Theorem and Mathematical Induction
Question Bank
Numerical Value Type Questions - Binomial Theorem
question_answer
If \[{{2.}^{10}}{{C}_{0}}+\frac{{{2}^{2}}}{2}{{.}^{10}}{{C}_{1}}+\frac{{{2}^{3}}}{3}{{.}^{10}}{{C}_{2}}+.....+{{\frac{2}{11}}^{11}}{{.}^{10}}{{C}_{10}}\]\[=\frac{{{3}^{k}}-1}{11}\]then find k.