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How do you determine a arithmetic sequence?
It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.
How is a arithmetic sequence found?
You take the difference between the second and first numbers.Then take the difference between the third and second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Take the difference between the fourth and third second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Keep checking until you think the differences are all the same.That being the case it is an arithmetic sequence.If you have a position to value rule that is linear then it is an arithmetic sequence.
Difference between mean and expected value?
For a population the mean and the expected value are just two names for the same thing. For a sample the mean is the same as the average and no expected value exists.
How much error is expected between the sample mean and population mean?
0. The expected value of the sample mean is the population mean, so the expected value of the difference is 0.
What is it meant by the expected value is observable?
The expected value is the arithmetic mean. It may not always be a value that is realised. Consider rolling a fair normal die. The mean or expected value of the outcome is 3.5 but a normal die will never ever turn up 3.5 since it has only integer values.
