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mitosuki

  • 3 years ago

Please help! A ball is dropped from the top of a 1,000 foot building. The height of the ball is half its original height after each bounce. What will the height of the ball be after 12 bounces? Using complete sentences, explain the procedure taken to answer this question.

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  1. mitosuki
    • 3 years ago
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    You dont have explain in sentences. I just want the height please!

  2. moneybird
    • 3 years ago
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    This is geometric sequence

  3. mitosuki
    • 3 years ago
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    Yes it is, I get the answer 0.48828125, But i dont think it is right.

  4. moneybird
    • 3 years ago
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    a = 1000 r = 1/2 n = 12 \[1000 (\frac{1}{2})^{n-1}\]

  5. moneybird
    • 3 years ago
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    It should be n not n-1

  6. mitosuki
    • 3 years ago
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    Ok I did that and get 0.488281125

  7. moneybird
    • 3 years ago
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    \[1000 (\frac{1}{2})^{12}\]

  8. mitosuki
    • 3 years ago
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    But why not n-1?

  9. mitosuki
    • 3 years ago
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    Because the formula I am given is with n-1, hmm idkk

  10. moneybird
    • 3 years ago
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    Do you mean the geometric formula that you are given or this question provides you a formula?

  11. mitosuki
    • 3 years ago
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    Well that's the only formula I am given in my lesson.. yeah the first part of ur question is right

  12. moneybird
    • 3 years ago
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    It shouldn't be n-1. You need to visualize the situation

  13. mitosuki
    • 3 years ago
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    Ok, then why don't you use -1? Because the first height wouldn't count right?

  14. moneybird
    • 3 years ago
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    |dw:1323133998962:dw|

  15. mitosuki
    • 3 years ago
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    thanks, i kinda understand now.

  16. moneybird
    • 3 years ago
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    Glad that you get help from Open Study

  17. mitosuki
    • 3 years ago
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    Thank you :)

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