Answer:
Step-by-step explanation:
The Explicit formula in function notation for a geometric series is:
Where is the nth term of the sequence, is the first term in the sequence and is the common ratio.
Given the following geometric serie:
The common ratio is:
And the first term is:
Therefore, substituting values, we get that the Explicit formula that represents this geometric series is:
Answer:
x = 10
Step-by-step explanation:
First, subtract 10 from both sides
Next, Simplify
Then, subtract 5/3x from both sides
After, simplify
Lastly, multiply both sides by 3
Then finally simplify for your final answer of x = 10
Hope this helps! :)
Using a midpoint Riemann sum with 3 subintervals of equal length to approximate is 2020 and means the distance in feet, traveled by rocket A from t=0 seconds to t=70 seconds.
From the given question,
An initial height of 0 feet at time t=0 seconds.
The velocity of the rocket is recorded for selected values of over the interval 0 < t < 80 seconds.
(a) Using a midpoint Riemann sum with 3 subintervals of equal length to approximate .
A midpoint Riemann sum with 3 sub intervals so, n=3
∆t= (70-10)/3
∆t = 60/3
∆t = 20
Intervals: (10, 30), (30,50), (50,70)
Midpoint: 20 40 60
Midpoint Riemann Sum
= ∆t[v(20+v(40)+v(60)]
From the table
= 20[22+35+44]
= 20*101
= 2020
(b) Now we have to explain the meaning of v(t)dt in terms of the rocket's flight .
It means the distance in feet, traveled by rocket A from t=0 seconds to t=70 seconds.
To learn more about a midpoint Riemann sum link is here
brainly.com/question/28174119
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