The answer is 32 you welcome :)
Answer:
None of the above
Step-by-step explanation:
According to the divergence test, if the limit of a sequence as n approaches infinity does not equal 0, then the series diverges. (Notice that if the limit does equal 0, the series doesn't necessarily converge).
According to the geometric series test, a geometric series converges if -1 < r < 1, and diverges otherwise.
The first series is a geometric series with r = -5/3. So it diverges.
The second series is also a geometric series:
3ⁿ⁻¹ / 2ⁿ = ⅓ (3ⁿ / 2ⁿ) = ⅓ (3/2)ⁿ
r = 3/2, so it diverges.
For the third series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
For the fourth series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
Answer:
The point estimate for the mean endowment of all private colleges in the United States is 180.2125 million dollars.
Step-by-step explanation:
We are given endowments (in millions of dollars) of eight private colleges in the United States:
78.8, 50.3, 243.2, 489, 111.5, 163.7, 92.4, 212.8
We have to find the point estimate of the population mean endowment of all private colleges in the United States.
The point estimate will be given by the sample mean.
Formula:
Thus, the point estimate is 180.2125 million dollars.
Answer:
Step-by-step explanation:
-i= -i
-i^2= 1
-i^3= -i * 1 = -i
-i^4= 1 * (-1) = -1
-i^5= -i
-i^6= 1
Answer:
3^3
Step-by-step explanation:
Exponents
9^3 can be rewritten as
3^2 ^3
Using exponent rules a^b^c = a^ (b*c)
3^2^3 = 3^6
3^6 / 3^3
We know that a^b / a^c = a^(b-c)
3^6 / 3^3 = 3^(6-3) = 3^3
