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Termino enesimo 2, 10, 28, 60, 110 prosedimiento es para mañana porfa?

Termino enesimo 2, 10, 28, 60, 110 prosedimiento es para mañana porfa.

En resumen

Respuesta : 2, 10, 28, 60, 110 + 8 + 18 + 32 + 50 + 10 + 14 + 18 + 4 + 4 Utilizar : tn = t₁C₀ⁿ⁻¹ + aC₁ⁿ⁻¹ + p₁C₂ⁿ⁻¹ + q₁C₃ⁿ⁻¹ + rC₄ⁿ⁻¹ Termino enésimo = tn t₁ = 2 a = 8 p₁ = 10 q₁ = 4 r = 0 tn = 2C₀ⁿ⁻¹ + 8C₁ⁿ⁻¹ + 10C₂ⁿ⁻¹ + 4C₃ⁿ⁻¹ Utilizar : Cₓⁿ = n! / (x! (n - x)!

Mejor respuesta

9

Respuesta :

2, 10, 28, 60, 110 + 8 + 18 + 32 + 50 + 10 + 14 + 18 + 4 + 4

Utilizar : tn = t₁C₀ⁿ⁻¹ + aC₁ⁿ⁻¹ + p₁C₂ⁿ⁻¹ + q₁C₃ⁿ⁻¹ + rC₄ⁿ⁻¹

Termino enésimo = tn

t₁ = 2

a = 8

p₁ = 10

q₁ = 4

r = 0

tn = 2C₀ⁿ⁻¹ + 8C₁ⁿ⁻¹ + 10C₂ⁿ⁻¹ + 4C₃ⁿ⁻¹

Utilizar : Cₓⁿ = n!

/ (x!

(n - x)!

)

C₀ⁿ⁻¹ = (n - 1)!

/ (0!

(n - 1 - 0)!

)

C₀ⁿ⁻¹ = (n - 1)!

/ (1(n - 1)!

)

C₀ⁿ⁻¹ = (n - 1)!

/ (n - 1)!

C₀ⁿ⁻¹ = 1

C₁ⁿ⁻¹ = (n - 1)!

/ (1!

(n - 1 - 1)!

)

C₁ⁿ⁻¹ = (n - 1)!

/ (1(n - 2)!

)

C₁ⁿ⁻¹ = (n - 1)(n - 2)!

/ (n - 2)!

C₁ⁿ⁻¹ = (n - 1)

C₂ⁿ⁻¹ = (n - 1)!

/ (2!

(n - 1 - 2)!

)

C₂ⁿ⁻¹ = (n - 1)!

/ (2(1)(n - 3)!

)

C₂ⁿ⁻¹ = (n - 1)(n - 2)(n - 3)!

/ (2(n - 3)!

)

C₂ⁿ⁻¹ = (n - 1)(n - 2) / 2

C₃ⁿ⁻¹ = (n - 1)!

/ (3!

(n - 1 - 3)!

)

C₃ⁿ⁻¹ = (n - 1)!

/ (3(2)(1)(n - 4)!

)

C₃ⁿ⁻¹ = (n - 1)(n - 2)(n - 3)(n - 4)!

/ (6(n - 4)!

)

C₃ⁿ⁻¹ = (n - 1)(n - 2)(n - 3) / 6

tn = 2C₀ⁿ⁻¹ + 8C₁ⁿ⁻¹ + 10C₂ⁿ⁻¹ + 4C₃ⁿ⁻¹

tn = 2(1) + 8(n - 1) + 10(n - 1)(n - 2) / 2 + 4(n - 1)(n - 2)(n - 3) / 6

tn = 2 + 8(n - 1) + 5(n - 1)(n - 2) + 2(n - 1)(n - 2)(n - 3) / 3.