[tex]b_{1} = 64 \\ q = \frac{1}{2} \\ S_{n} = \frac{b_{1}( {q}^{n} - 1)}{q - 1} \\ S_{10} = \frac{64(( \frac{1}{2} ) {}^{10} - 1)}{ \frac{1}{2} - 1} = ( \frac{2 {}^{6} }{2 {}^{10} } - 64) \div (- 0.5) = \\ = ( \frac{1}{ {2}^{4} } - 64) \div ( - 0.5) = ( \frac{1 - 1024}{16} ) \div ( - 0.5) = \\ = \frac{1023 \times 2}{16} = \frac{1023}{8} = 127 \frac{7}{8} = 127.875[/tex]