Question

- Scrieţi primii cinci termeni ai progresiei geometrice (b₁) ₁ e N. dacă: N* a) b₁ = 1, q = 2; b) b₁ = 2, q = -1; c) b₁ = -3, q = 1/2 ; d) b₁ = − 1/2 , 9 = rad.3​

Answer 1

Răspuns:

Explicație pas cu pas:

a) b₁ = 1, q = 2

b₂ = b₁·q = 1·2 = 2

b₃ = b₂·q = 2·2 = 4

b₄ = b₃·q = 4·2 = 8

b₅ = b₄·q = 8·2 = 16

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b) b₁ = 2, q = -1

b₂ = b₁·q = 2·(-1) = -2

b₃ = b₂·q = -2·(-1) = 2

b₄ = b₃·q = 2·(-1) = -2

b₅ = b₄·q = -2·(-1) = 2

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c) b₁ = -3, q = 1/2

b₂ = b₁·q = -3·1/2 = -3/2

b₃ = b₂·q = -3/2· 1/2= -3/4

b₄ = b₃·q = -3/4· 1/2 = -3/8

b₅ = b₄·q = -3/8· 1/2 = -3/16

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d) b₁ = − 1/2 , q = √3​

b₂ = b₁·q = -1/2 ·√3 = -√3/2

b₃ = b₂·q = -√3/2 ·√3 = -3/2

b₄ = b₃·q = -3/2 ·√3 = -3√3/2

b₅ = b₄·q = -3√3/2 ·√3 = -9/2