Assuming the series is

The series will converge if

We have

So the series will certainly converge if

, but we also need to check the endpoints of the interval.
If

, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if

, by the alternating series test we can show that the series converges, since

and is strictly decreasing.
So, the interval of convergence for the series is

.
Answer:
0.375
Step-by-step explanation:
..
Answer
7/9 chance to pick a brown sock first and 1/4 chance to get a black sock after
Step-by-step explanation:
there are 9 total socks and 7 are brown so you will have a 7/9 chance to get a brown sock
then if you do get a brown the total number of socks will be 8 in the bag so then you have a 2/8 chance which can be simplified to 1/4
Answer:
line 2
Step-by-step explanation:
on line 2 the two minuses at the end turn into a + (where the -2 is there should be a +2) because - x - = +
Volume of a cone = (1/3) * Area of Base * height
144 * 3 / 9 = Area of Base
Area of the Base = 48