Answer:
The first term of the sequence is -120.
Step-by-step explanation:
The formula for the "nth" term of a geometric sequence is shown below:
an = a0*r^(n-1)
Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:
a0*r^(n-1) = an
a0 = an/[r^(n-1)]
We then apply the data given to us
a0 = 31.45728/[-0.8^(7-1)]
a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120
The first term of the sequence is -120.
We are given the following inequality:
If we replace b = 2, we get:
Now we solve for "a" first by subtracting 8 on both sides:
Now we divide both sides by 6
Simplifying:
Therefore, for b = 2, the possible values of "a" are those that are greater than 1/3
B. 6/9 because 6/9 equal to 2/3 so it’s basically the same ratio
If the outliers are not included, what is the mean of the data set? 76, 79, 80, 82, 50, 78, 83, 79, 81, 82 (2 points) Select one
wlad13 [49]
Hello!
As you can see, 50 is the outlier, as it is not around the other numbers in the data set. Therefore, we will calculate the mean of all the numbers if we add up all the numbers and divide by 9.
(76+79+80+82+78+83+79+81+82)÷9=80
The mean of this data set (excluding the outlier) is 80.
I hope this helps!
Answer: Eighty-seven thousand-fifty five
Step-by-step explanation:
