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Answer:
The probability of rolling a number that is even and a multiple of 3 is
Step-by-step explanation:
The total possible outcomes of cube = { 1, 2, 3 , 4 , 5 , 6}
Now, let E: Event of getting an even number and a multiple of 3
So, out of all the outcomes, {6) is the ONLY possible favorable outcome.
or,
Hence, the probability of rolling a number that is even and a multiple of 3 is
Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.
<h3>How do we verify if a sequence converges of diverges?</h3>Suppose an infinity sequence defined by:
Then we have to calculate the following limit:
If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.
In this problem, the function that defines the sequence is:
Hence the limit is:
Hence, the infinite sequence converges, as the limit does not go to infinity.
More can be learned about convergent sequences at brainly.com/question/6635869
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