3 A ball rebounds of the height from which it is dropped. It is dropped 56 meters from a leaning building and it kept on bouncing. How far would the ball have traveled up and down when it strikes the ground for the 6th time?
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pa sovle po
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Answer:
from the 2nd on , we have a geometric sequence with
a = 56, r = 1/2
We need the sum of
1st term + 5 terms of the GS
= 56 + 56(1 - (1/2)^5)/(1 - 1/2)
= 56 + 56( (31/32) / (1/2) )
= 56 + 56(31/16)
= 56 + 217/2
= 164.5