The function A(n) = 22(1.1)^n-1 is an illustration of a geometric series
The sum of the 23rd through 40th terms of the series is 17.49
<h3>How to determine the sum of the
series</h3>
The nth term of the geometric series is given as:
The nth term of a series is represented as:
So, by comparison;
We have:
The sum of nth term of a geometric progression is:
Start by calculating the sum of the first 22 terms
Next, calculate the sum of the first 40 terms
Subtract S22 from S40
Hence, the sum of the 23rd through 40th terms of the series is 17.49
Read more about progression at:
brainly.com/question/12006112
Answer:
(a) The probability is 0.66
(b) The probability is 0.9091
Step-by-step explanation:
The probability that the target is hit by either A or B is calculated as the sum of the probability that the target is hit by A and the probability that the target is hit by B less the probability that A and B happens, as:
P = 0.6 + 0.15 - 0.6(0.15) = 0.6 + 0.15 - 0.09 = 0.66
On the other hand, the probability that the target is hit by A knowing that it is hit is calculated as:
P(A/H) = P(A∩H)/P(H)
Where P(H) is the probability that the target is hit by either A or B and P(A∩H) is the probability that the target is hit by A.
So,
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