m=1 2 2^2 2^3 ... 2^2012/2^2014-2
Giải thích
Lời giải:
\(\begin{array}{l}M = \frac{{1 + 2 + {2^2} + {2^3} + ... + {2^{2012}}}}{{{2^{2014}} - 2}}\\2M = \frac{{2 + {2^2} + {2^3} + {2^4} + ... + {2^{2013}}}}{{{2^{2014}} - 2}}\\M = \frac{{(2 + {2^2} + {2^3} + {2^4} + ... + {2^{2013}}) - (1 + 2 + {2^2} + {2^3} + ... + {2^{2012}})}}{{{2^{2014}} - 2}}\\M = \frac{{{2^{2013}} - 1}}{{{2^{2014}} - 2}}\end{array}\)