An alternating series

converges if

is monotonic and

as

. Here

.
Let

. Then

, which is positive for all

, so

is monotonically increasing for

. This would mean

must be a monotonically decreasing sequence over the same interval, and so must

.
Because

is monotonically increasing, but will still always be positive, it follows that

as

.
So,

converges.
Answer:
7+3(-4)(2) -2[12/(-3)] (15-7)-(9/3) -5[7+(-14)]-30= 49
Step-by-step explanation:
<u>Answer:</u> The slope of the line formed by these two points is 
<u>Step-by-step explanation:</u>
To calculate the slope, we use the formula:

For the coordinates given:

Putting values in above equation, we get:

Hence, the slope of the line formed from these two coordinates is 
Answer:
only -2 is in the domain
Step-by-step explanation:
For negative values under the sqrt, there is no real answer, hence
-2x ≥ 0
only for x=-2 this is the case.
The domain represents all the valid input values for x.
There wouldn't be a solution: because both equations have the same slope of 3, they would be parallel to each other. The best graph to pick would be the one with two positive steep slopes that are 3 up every one to the right.