zeeman1998 zeeman1998
  • 25-10-2016
  • Mathematics
contestada

Write the explicit formula for the geometric sequence.

a1 = -5 a2 = 20 a3 = -80

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apologiabiology
apologiabiology apologiabiology
  • 25-10-2016
geometric is
an=(a1)(r^(n-1))
a1=first term
r=common ratio

so

a1=-5, given

a2=20 so

a2=20=-5(r^(2-1))
20=-5(r^1)
20=-5(r)
divide both sides by -5
-4=r

the formula is
an=-5(-4)^(n-1)
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