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anonymous

  • one year ago

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

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  1. anonymous
    • one year ago
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    help

  2. Kash_TheSmartGuy
    • one year ago
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    First we need to understand the sequences. According to my calculations- #1 doubles the value it adds. #2 (*3) the value

  3. anonymous
    • one year ago
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    ok

  4. welshfella
    • one year ago
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    the population after 10 hours will be a1 r^9 where a = starting population and r = common ratio

  5. welshfella
    • one year ago
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    *a1

  6. anonymous
    • one year ago
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    so a is 2hours

  7. anonymous
    • one year ago
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    so its b

  8. welshfella
    • one year ago
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    the common ratio for A is 1500/1000 = 1.5 and for b its 3/1 = 3

  9. welshfella
    • one year ago
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    after 10years A = 1000* 1.5^9 and B = 1* 3^9

  10. anonymous
    • one year ago
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    so its a

  11. anonymous
    • one year ago
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    right????

  12. welshfella
    • one year ago
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    yes

  13. anonymous
    • one year ago
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    thx

  14. welshfella
    • one year ago
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    A = 38443 and B = 19683

  15. welshfella
    • one year ago
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    remember a GP has term a1, a1 r, a1r^2, a1r^3....

  16. anonymous
    • one year ago
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    kk

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