Answer:
We know that the total area under the normal curve is 100%. According to the empirical rule of Normal distribution:
Approximately, 68% of data lies within standard deviations of mean.
Approximately, 95% of data lies within standard deviations of mean.
Approximately, 99.7% of data lies with standard deviations of mean,
Therefore, in a normal curve, roughly 95% of all cases fall within plus or minus two standard deviations.
nth term is:
122 is not in the sequence
Further explanation:
First of all we have to decide whether it an arithmetic sequence or geometric sequence,
Here
As the common difference is same for all consecutive terms, the sequence is an arithmetic sequence
The formula for arithmetic sequence is given by:
Here a_n is the nth term
a1 is the first term
n is the term number and
d is the common difference
Putting the value of a1=4 and d=6 in the formula
To check whether 122 will be number in the sequence or not,
Putting the value in nth term we will find the value of n, if n is an integer then 122 is a part of the sequence, otherwise not
So,
As the value of n is in decimal, that means none of the terms in the sequence is 122.
So,
nth term is:
122 is not in the sequence
Keywords: Arithmetic sequence, Common Difference
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