Предмет: Алгебра, автор: nteslina

Записаны несколько последовательных членов геометрической прогрессии:...;8;-2;x;-одна восьмая;... .Найдите член прогрессии,обозначенный буквой x.

Ответы

Автор ответа: meripoppins60

b₁ = 8
b₂ = -2
q = b₂ : b₁ = -2 : 8 = - $frac{1}{4}$

x = b₃= b₁ * q³⁻¹ = 8 * (- $frac{1}{4}$ )² = 8 * $frac{1}{16}$ = $frac{1}{2}$

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