b2=1,b3=2 найти b6(геометрическая прогрессия). Created by Zhenya2001a. algebra-ru

b2=1,b3=2 найти b6(геометрическая прогрессия)...

Zhenya2001a @Zhenya2001a

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b2=1,b3=2 найти b6(геометрическая прогрессия)

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B₂ = 1; b₃ = 2; b₆ = ?
q = bn₊₁ / bn = 2/1 = 2
bn = b₁ * qⁿ⁻¹
b₂ = b₁ * q²⁻¹ = b₁ * q;
b₁ = b₂ / q = 1/2
b₆ = b₁ * q⁶⁻¹ = b¹ * q⁵ = 1/2 * 2⁵ = 16
Ответ: b₆ = 16

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