anonymous
  • anonymous
The following geometric sequences represent the populations of two bacterial cultures after 0 hours, 1 hour, 2 hours, and so on. Culture A starts with more bacteria, but culture B has a ratio of increase that is twice as large. Which culture will have the greatest population after 10 hours? Culture A: 1000, 1500, 2250, 3375, ... Culture B: 1, 3, 9, 27, ... A. Culture A B. Culture B
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
help
Kash_TheSmartGuy
  • Kash_TheSmartGuy
First we need to understand the sequences. According to my calculations- #1 doubles the value it adds. #2 (*3) the value
anonymous
  • anonymous
ok

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welshfella
  • welshfella
the population after 10 hours will be a1 r^9 where a = starting population and r = common ratio
welshfella
  • welshfella
*a1
anonymous
  • anonymous
so a is 2hours
anonymous
  • anonymous
so its b
welshfella
  • welshfella
the common ratio for A is 1500/1000 = 1.5 and for b its 3/1 = 3
welshfella
  • welshfella
after 10years A = 1000* 1.5^9 and B = 1* 3^9
anonymous
  • anonymous
so its a
anonymous
  • anonymous
right????
welshfella
  • welshfella
yes
anonymous
  • anonymous
thx
welshfella
  • welshfella
A = 38443 and B = 19683
welshfella
  • welshfella
remember a GP has term a1, a1 r, a1r^2, a1r^3....
anonymous
  • anonymous
kk

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