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.
5,10,15,20,25,30 that is 1,2,3,4,5,6 6 of 100 is 18
Answer:
24 sides
Step-by-step explanation:
a polygon cannot have a decimal number of sides, it is impossible
since the sum of these exterior angles in a regular polygon must equal 360 degrees. The maximum number of sides that would yield exterior angles that are integers is 360
because 360 ÷ 360 = 1.
Answer: she must sell 6 large photos and 6 small photos
Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300