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.
Lets say yu are trying to roll a 4 on both of the dice the probability for both is 1/6 so multiply 1/6 × 1/6 and you get 1/36
so the probability for rolling the same number on each dice is 1/36
hope this helps!
Answer:
x = 6
Step-by-step explanation:
1/2(18-5x)=1/3(6-4x)
9 - 5/2x = 2 - 4/3x
7 = 7/6x
x = 6
Answer:
2 kids plan to do cross country
Step-by-step explanation:
Answer:
i have no idea lol make it more clearer