Question

7член геометрической прогрессии равен 36,пятый равен4 тогдa q=?

Answer 1

Ответ:

${b}^{n + 1} = {b}^{n} \times q$

=>

${b}^{7} = {b}^{6} \times q \\ q = \frac{ {b}^{n + 1} }{ {b}^{n} }</p><p>$

$q = \frac{ {b}^{7} }{ {b}^{6} }$

${b}^{n} = \sqrt{ {b}^{n - 1} \times {b}^{n + 1} }$

${b}^{6} = \sqrt{ {b}^{5} \times {b}^{7} }$

=

$\sqrt{4 \times 36} = \sqrt{144} = 12$

${b}^{6} = 12$

$q = \frac{36}{12} = 3$

Ответ: q=3