anonymous
  • anonymous
Find the sixth term of a geometric sequence with t5 = 24 and t8 = 3.
Mathematics
jamiebookeater
  • jamiebookeater
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welshfella
  • welshfella
t8 = a1 r^7 = 3 t5 = a1 r^4 = 24 t8 / t5 = r^3 = 3/24 = 1/8 so r = ?
welshfella
  • welshfella
r = cube root of 1/8
anonymous
  • anonymous
r=1/2 right

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welshfella
  • welshfella
yes so 6th term = t5 * 1/2
anonymous
  • anonymous
so the 6th term would be 12
welshfella
  • welshfella
yep
anonymous
  • anonymous
awesome. thanks so much for your help :)
welshfella
  • welshfella
common ratio r = 1/2
welshfella
  • welshfella
yw

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