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thicklooney
28.09.2020 •
Mathematics
Express the interval using inequality notation.
-3,8
Solved
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Ответ:
- 3 ≤ n ≤ 8
Step-by-step explanation:
Express the interval using inequality notation: -3,8
Interval between - 3 and 8, assumed both included, expressed as:
- 3 ≤ n ≤ 8Ответ:
Recursive formula![h_n = 0.85 \times h_{n-1}](/tpl/images/0029/8136/a0aac.png)
Explicit formula![h_n = 4 \times 0.85^n](/tpl/images/0029/8136/1d203.png)
Step-by-step explanation:
An explicit formula allows you to find the value of any term in the sequence. A recursive formula allows you to find the value of the nth term if you know the value of the (n-1)th term in the sequence.
Recursive formula
Given the initial height (
), the next height (
) is 85% of it, the following height is 85% of the new height, and so on. Mathematically:
Where (
) is the nth height, given the previous one (
)
Explicit formula
initial height: 4 ft
n: number of bounces
h(n): height after n bounces
n h(n)
1 4*0.85 = 3.4 ft
2 3.4*0.85 = 2.89 ft
3 2.89*0.85 = 2.4565 ft
... ...
n 4*0.85^n