Question

решите срочно пожалуйста

Answer 1

$\frac{5 \times 2^{k + 2} + 10 \times 2^{k - 1} }{10^{k + 2} } = \frac{ {2}^{k - 2} (5 + 10 \times 2)}{ {2}^{k + 2} \times {5}^{k+ 2} } = \frac{25}{ {2}^{4} \times {5}^{k + 2} } = \frac{1}{16 \times {5}^{k} }$