Someone help me solve please!
A basketball is dropped from an original height of 9ft. and on each bounce, bounces up 2/3 the distance it fell. How far will it have traveled by the time it hits the ground the 4th time?
Stacey Warren - Expert brainly.com
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9 + 2/3 of 9 for the given
falls 2/3 of 9
then bounces 2/3 of 2/3 of 9
Think of a recursive sequence where x2 = (x1)(2/3)
yeah, retireed has the idea
the previous initial height to fall depends on the last bounce height each time
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how do we find distance it travels each time?
are you learning about sequences and things a(n) ?
if you don't need to know how to generate a function for total distance traveled depending on the bounce #, then this wont be too long to just brute force total it up
i mean if you don't need to generate a function, just total up everything
yes i am
would the answer be it traveled 21.66
first bounce falls 9
second bounce adds to that (2/3)*9 * 2, it is times 2 from moving up, then down
third bounce adds 2*(2/3)* second bounce
4th adds 2*(2/3) third bounce
see the pattern