Ball Jumping

A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can you calculate the fraction of its original height that the ball will bounce after it is dropped and it has bounced four times without any hindrance ?




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If nine thousand, nine hundred nine dollars is written as $9,909,
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Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

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