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Sagot :
Answer:
- See below
Step-by-step explanation:
18.2% less than h is:
- h*(100 - 18.2)/100 =
- h*0.818
The following series reflects this situation:
- 119, 119*0.818, 119*0.818², ...
This is a geometric series with the first term 119 and common ratio 0.818.
The maximum height after 19th bounce is:
- h = 119*0.818¹⁹ = 2.62 inches (rounded)
The rate of change is same as common ratio b = 0.818.
Here the expression yields into geometric progression
Where
- First term=a=119
- Common ratio =100-0.182=0.818
Maximum height of 19th bounce
- a_n=ar^{n-1}
- a_n=119(0.818)¹⁸
- a_19=3.199ft
Rate of change is 0.818
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