Answer: The given series neither converges nor diverges.
Step-by-step explanation: We are given to determine whether the following series converges or diverges :
![S=\sum_{n=0}^{\infty}(-1)^n.](https://tex.z-dn.net/?f=S%3D%5Csum_%7Bn%3D0%7D%5E%7B%5Cinfty%7D%28-1%29%5En.)
If the series converges, we are to find its sum.
The given series can be written as :
![1,~-1,~1,~-1,~1,~1,~~.~~.~~.](https://tex.z-dn.net/?f=1%2C~-1%2C~1%2C~-1%2C~1%2C~1%2C~~.~~.~~.)
We note that the given series is a geometric one with first term 1 and common ratio given by
![r=\dfrac{-1}{1}=\dfrac{1}{-1}=~~.~~.~~.~~=-1.](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B-1%7D%7B1%7D%3D%5Cdfrac%7B1%7D%7B-1%7D%3D~~.~~.~~.~~%3D-1.)
We know that a geometric series with common ratio r converges if |r| <1 and diverges if |r| > 1.
Since |r| = 1 for the given series, so the series will neither converge nor diverge.
Thus, the given series neither converges nor diverges.
I) The probability that it is not bruised is 1-0.054=0.946
Hint for ii and iii) use Bayes Theorem
Answer:
No
Step-by-step explanation:
Using the given lengths if we say this is a right triangle then 8 would be length of hypotenuse
From the Pythagorean theorem
8^2 = 5^2 + 7^2
64 = 25 + 49
64 = 74 is not a correct equation so the triangle is not a right triangle for the given lengths
1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces
Answer:
the answer is b my guy
Step-by-step explanation: