Explicație pas cu pas:
[tex]b = {2}^{0} + {2}^{1} + {2}^{2} + {2}^{3} + {2}^{4} + {2}^{5} + {2}^{6} + ... + {2}^{2003} = ( {2}^{0} + {2}^{1} + {2}^{2} + {2}^{3} ) + {2}^{4} \times ( {2}^{0} + {2}^{1} + {2}^{2} + {2}^{3} ) + ... + {2}^{2000} \times ( {2}^{0} + {2}^{1} + {2}^{2} + {2}^{3} ) = (1 + 2 + 4 + 8) + {2}^{4} \times (1 + 2 + 4 + 8) + {2}^{2000} \times (1 + 2 + 4 + 8) = 15 \times (1 + {2}^{4} + ... + {2}^{2000} )se \: divide \: 15[/tex]
Mult succes în continuare!
