anonymous
  • anonymous
Is the sequence geometric? 2, 6, 18, 54,... A. yes B. no
Mathematics
katieb
  • katieb
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Mertsj
  • Mertsj
A
amistre64
  • amistre64
if 6/2 = 54/18 then yes
amistre64
  • amistre64
otherwise no

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Mertsj
  • Mertsj
You always multiply by 3 to get the next term
anonymous
  • anonymous
Okay thanks! I am writing that in my notebook so I do not forget that! :)
amistre64
  • amistre64
the multiply by 3 part, or the dividing last terms part?
anonymous
  • anonymous
Both!
amistre64
  • amistre64
given a sequence\[a_1,a_2,a_3,a_4,...a_n,a_{n+1}\]we can determine if its geometric by taking the ratio any 2 terms that are next to each other.\[\frac{a_2}{a_1}=\frac{a_7}{a_6}=\frac{a_{n+1}}{a_n}\]
amistre64
  • amistre64
of course it should equal if you go the other way to\[\frac{a_1}{a_2}=\frac{a_n}{a_{n+1}}\]but it just wont be the correct ratio

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