The answer is (-4,-3)
Really hope this helps
Not necessarily. Consider the series
![\displaystyle\sum_{n=1}^\infty\frac{(-1)^n}n](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5E%5Cinfty%5Cfrac%7B%28-1%29%5En%7Dn)
and
![\displaystyle\sum_{n=1}^\infty\frac1n](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5E%5Cinfty%5Cfrac1n)
. Here
![a_n=\dfrac1n](https://tex.z-dn.net/?f=a_n%3D%5Cdfrac1n)
.
The first series converges by the alternating series test, which says
![\sum(-1)^na_n](https://tex.z-dn.net/?f=%5Csum%28-1%29%5Ena_n)
converges if
![\left|(-1)^na_n\right|=|a_n|](https://tex.z-dn.net/?f=%5Cleft%7C%28-1%29%5Ena_n%5Cright%7C%3D%7Ca_n%7C)
is a decreasing sequence and converges to 0. This is the case, as
![a_n=\dfrac1n\to0](https://tex.z-dn.net/?f=a_n%3D%5Cdfrac1n%5Cto0)
as
![n\to\infty](https://tex.z-dn.net/?f=n%5Cto%5Cinfty)
, and each term is decreasing. (Indeed the series converges to
![-\ln2](https://tex.z-dn.net/?f=-%5Cln2)
.)
On the other hand, the second series is a classic example of a divergent sum.
Answer:
I think 9 if im not correct i sincerely apologize
Answer:
The 3 one is 2 and the forth one is 10
Step-by-step explanation:
i did the math
Answer:
To get this answer you will need to find the area of the whole shape will be 4y+3*2y=10x. With this, you then have to divide by 2 which will give you 5x. Then you solve for the shaded region which will be 36
Step-by-step explanation:
Hope this is right and helpful.