найдите знаменатель геометрической прогрессии если b1= 81 b7= 1/9. Created by marziyatmuslimova. algebra-ru

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marziyatmuslimova @marziyatmuslimova

July 2022 1 7 Report

найдите знаменатель геометрической прогрессии если b1= 81 b7= 1/9

Answers & Comments

Nekit455

Verified answer

Формула n-го члена геометрической прогрессии:

bₙ = b₁ * qⁿ⁻¹

В данном случае q - знаменатель прогрессии

Подставляем

$\displaystyle\frac{1}{9}=81*q^{7-1}\\\\\\\frac{1}{9}=81q^{6}\\\\\\q^{6}=\frac{1}{9}:81=\frac{1}{9}*\frac{1}{81}=\frac{1}{729}\\\\q=\sqrt[6]{\frac{1}{729} } =\frac{1}{3}$

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Verified answer

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