Question

.. Calcula la suma de los 10 primeros términos de la progresión geométrica:
24, 96,...

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Answer 1

Respuesta:

S(10)=‭8.388.600‬

Explicación:

a1=24

a2=96

r=a1/a2

r=96/24

r=4

a(n) = a1*r^(n-1)

a(3)=24*4(3-1)

a(3)=24*4^2

a(3)=24*16

a(3)=384

a(4)=1.536

a(5)=6.144

a(6)=24.576

a(7)=98.304

a(8)=393.216

a(9)=‭1.572.864‬

a(10)=6.291.456

S(n)=a1 * (r^n -1)/(r-1)

S(10)=24*((4^10)-1))/(4-1)

S(10)=24*(‭1.048.576‬-1)/3

S(10)=24*‭1.048.575/3

S(10)=‭8.388.600‬