Mar7cia0eleetchassas
Mar7cia0eleetchassas Mar7cia0eleetchassas
  • 21-07-2016
  • Mathematics
contestada

Write the explicit formula for the geometric sequence.

a1 = -5 a2 = 20 a3 = -80

Respuesta :

dalendrk
dalendrk dalendrk
  • 24-07-2016
[tex]a_1 = -5;\ a_2 = 20;\ a_3 = -80 \\\\a_2:a_1=r\ and\ a_3:a_2=r\\\\r=20:(-5)=-4\ check\ r=-80:20=-4\\\\a_n=a_1r^{n-1}\to a_n=-5\cdot(-4)^{n-1}=-5\cdot(-4)^{-1}\cdot(-4)^n\\\\=-5\cdot\left(-\dfrac{1}{4}\right)\cdot(-4)^n=\dfrac{5}{4}\cdot(-4)^n\\\\Answer:\boxed{a_n=-5\cdot(-4)^{n-1}\ other\ a_n=\frac{5}{4}\cdot(-4)^n}[/tex]
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