Find the first five terms for the following arithmetic sequence Tn=5n-6?
1 answer:
Answer:
The first five terms are -1,4,9,14 and 19.
Step-by-step explanation:
The arithmetic sequence is :
We need to find the first five terms of the sequence.
Put n = 1 for first term.
Put n = 2 for second term.
Put n = 3 for third term.
Put n = 4 for fourth term.
Put n = 5 for fifth term.
Hence, the first five terms are -1,4,9,14 and 19.
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Answer:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.