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.
No, because 2/5 is .4 and 4/12 is 1/3 or .333
So Jed is much faster than Alex in free throws.
$2500/2 = 1250. 1250/2 = 625. 625/2 = 312.5. 312.5/2 = 156.25. 156.25/2 = 78.125. 78.125/2 = 39.0625 Add all the end numbers up = 2460.9375. 2460.9375/2 = 1230.46875. 2460.9375 - 1230.46875 = 1230.46875. Therefore, she payed back 1230.46875, meaning she had 1230.46875 left in her account. Hope i helped! :D
Is there supposed to be a picture to this question
Answer:
x 
Step-by-step explanation:
x = the number
3x + 8 4
3x -4
x
