Answer:
its c 2b(12 - 17a)
Step-by-step explanation:
Answer:
The series is absolutely convergent.
Step-by-step explanation:
By ratio test, we find the limit as n approaches infinity of
|[a_(n+1)]/a_n|
a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)
a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)
[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]
= |-3n³/2(n+1)³|
= 3n³/2(n+1)³
= (3/2)[1/(1 + 1/n)³]
Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity
= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity
= 3/2 × 1
= 3/2
The series is therefore, absolutely convergent, and the limit is 3/2
Answer:
71
Step-by-step explanation:
Answer:
medium of exchange
Step-by-step explanation:
just took the test
Using concepts of probability, it is found that there is a 4.7% probability that it arrives in Philadelphia (PHL).
<h3>What is a probability?</h3>
- A <em>probability </em>is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
- Over a large number of trials, a percentage can also represent the probability of single event.
In this question, researching the problem on the internet, we have that over a large number of flights, of those which arrived on time, 4.7% of them were in Philadelphia, hence:
- There is a 4.7% probability that it arrives in Philadelphia (PHL).
You can learn more about probabilities at brainly.com/question/15536019