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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.

    Answer:

    11.00


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