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: -14, -9, -8, -6, 10, 12, 13
Step-by-step explanation: Think of all the numbers money. The negative ones mean that you owe people money so the bigger the negative number is the more you owe people which is the less money you have.
Answer:
(0,-5)
Step-by-step explanation:
3(4x+4y=20)
-3x-12y=-60
12x+12y=60
-3x-12y=-60
9x=0
x=0
4(0)+4y=-20
4y=-20
y=-5