What is the common ratio of the sequence? -2,6,-18,54
1 answer:
<u>ANSWER</u>
The common ratio is -3.
<u>EXPLANATION</u>
In general, the common ratio of a Geometric Sequence is given by:
We can find the common ratio using any two consecutive terms of the geometric sequence by dividing the subsequent term by the previous term.
The given sequence is -2,6,-18,54
Using the first two terms the common ratio is
We could also used the second and third terms to get
and so on and so forth.
Therefore the common ratio is -3.
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When the outlier is removed The mean would increase.
<u>Step-by-step explanation:</u>
Outliers are the value that lies outside the set of data. i.e. the data doesn't fit in the group.
Removing outliers can affect mean more than median. Because outlier removal sometimes affect the median but in a small percentage or sometimes it will remain the same.
Let us prove, consider 16 values one with 78 and other 15 with values nearly 85, 84 that will give the mean value as 84.
78, 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85.
Mean =.
Mean =.
Mean =.
Mean = 84.
Remove 78 from the data set then the data set is 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85 and number of data is reduced to 15.
Mean =.
Mean =.
Mean = 84.4.
The mean is increased.