Answer:
La respuesta es c
Step-by-step explanation:
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.
"Vary directly" is another way of saying "directly proportional".
In simple English, this just means, as one increases, the other increases too.
a = 6
b = 4
The question says find out what a is when b is 16.
First, lets find how many times larger b has gotten.
16/4 = 4
b had gotten 4 times bigger to go from b=4 to b=16
If a is varying directly, it means that it will also get 4 times bigger.
Therefore, a = 6 x 4 = 24
