Answer:
![Sum=4*[\frac{n^2-1}{n^2}]](https://tex.z-dn.net/?f=Sum%3D4%2A%5B%5Cfrac%7Bn%5E2-1%7D%7Bn%5E2%7D%5D)
For n=10:
Sum=3.96
For n=100:
Sum=3.9996
For n=1000:
Sum=3.999996
For n= 10000:
Sum=3.99999996
Step-by-step explanation:
Formula:
Rearranging the above formula:
Eq (1)
According to summation formula:
Putt these in Eq (1), and we will get:
![=\frac{12}{n^3}[\frac{n(n+1)(2n+1)}{6}-\frac{n(n+1)}{2}]\\Taking\ n\ as\ common\\=n*\frac{12}{n^3}[\frac{(n+1)(2n+1)}{6}-\frac{(n+1)}{2}] \\=\frac{12}{n^2}*[\frac{(n+1)(2n+1)}{6}]-\frac{12}{n^2}*[\frac{(n+1)}{2}] \\=\frac{2*(n+1)(2n+1)}{n^2}-\frac{6(n+1)}{n^2}\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B12%7D%7Bn%5E3%7D%5B%5Cfrac%7Bn%28n%2B1%29%282n%2B1%29%7D%7B6%7D-%5Cfrac%7Bn%28n%2B1%29%7D%7B2%7D%5D%5C%5CTaking%5C%20n%5C%20as%5C%20common%5C%5C%3Dn%2A%5Cfrac%7B12%7D%7Bn%5E3%7D%5B%5Cfrac%7B%28n%2B1%29%282n%2B1%29%7D%7B6%7D-%5Cfrac%7B%28n%2B1%29%7D%7B2%7D%5D%20%5C%5C%3D%5Cfrac%7B12%7D%7Bn%5E2%7D%2A%5B%5Cfrac%7B%28n%2B1%29%282n%2B1%29%7D%7B6%7D%5D-%5Cfrac%7B12%7D%7Bn%5E2%7D%2A%5B%5Cfrac%7B%28n%2B1%29%7D%7B2%7D%5D%20%5C%5C%3D%5Cfrac%7B2%2A%28n%2B1%29%282n%2B1%29%7D%7Bn%5E2%7D-%5Cfrac%7B6%28n%2B1%29%7D%7Bn%5E2%7D%5C%5C)
Taking 
as common:
After more simplifying,
Now ,for n=10:
![Sum=4[\frac{(10^{2})-1}{10^{2}}]\\Sum=3.96](https://tex.z-dn.net/?f=Sum%3D4%5B%5Cfrac%7B%2810%5E%7B2%7D%29-1%7D%7B10%5E%7B2%7D%7D%5D%5C%5CSum%3D3.96)
For n=100:
![Sum=4[\frac{(100^{2})-1}{100^{2}}]\\Sum=3.9996](https://tex.z-dn.net/?f=Sum%3D4%5B%5Cfrac%7B%28100%5E%7B2%7D%29-1%7D%7B100%5E%7B2%7D%7D%5D%5C%5CSum%3D3.9996)
For n=1000
![Sum=4[\frac{(1000^{2})-1}{1000^{2}}]\\Sum=3.999996](https://tex.z-dn.net/?f=Sum%3D4%5B%5Cfrac%7B%281000%5E%7B2%7D%29-1%7D%7B1000%5E%7B2%7D%7D%5D%5C%5CSum%3D3.999996)
For n=10000:
![Sum=4[\frac{(10000^{2})-1}{10000^{2}}]\\Sum=3.99999996](https://tex.z-dn.net/?f=Sum%3D4%5B%5Cfrac%7B%2810000%5E%7B2%7D%29-1%7D%7B10000%5E%7B2%7D%7D%5D%5C%5CSum%3D3.99999996)
41
87=41+46
I don’t know how the person before me got 56 because 56+61=117
Answer:
Step-by-step explanation:
<h3>
Answer: 12/13</h3>
The sine of an angle is equal to the opposite over hypotenuse
sin(angle) = opposite/hypotenuse
sin(x) = 12/13
There were a total of 252 cans of soda given the the camp "turken" There was 14 campers. How many cans of soda would each kid get if you equally divided the soda between all 14 campers?
