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Math Help - Progression help

  1. #1
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    Progression help

    I have seen questions like this many times but still unsure of doing it ..

    Q: A ball rebounds to a height five-eighths of its previous height above the ground . If a ball is dropped from a height of 3 metres , find the total distance travelled by the ball before it comes to a rest ?

    Is it a finite series or an infinite series ?
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by thereddevils View Post
    I have seen questions like this many times but still unsure of doing it ..

    Q: A ball rebounds to a height five-eighths of its previous height above the ground . If a ball is dropped from a height of 3 metres , find the total distance travelled by the ball before it comes to a rest ?

    Is it a finite series or an infinite series ?
    Its an infinite Geometric progression

    Formula
     <br />
 S=\frac{a}{1-r}<br />
    'a' is the first term (3 in your case)
    'r' is the common ratio ( \frac{5}{8} in your case )

    condition for using it
    |r|<1

    Go ahead
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  3. #3
    MHF Contributor
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    Re :

    It forms a series as follows :

    3+2[1.875+1.875(\frac{5}{8})+1.875(\frac{5}{8})^2+...]

    3+2[\frac{1.875}{1-\frac{5}{8}}]=13
    Last edited by mathaddict; February 4th 2009 at 06:26 AM. Reason: Typo ..
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