Mister Exam

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How to use it?
Sum of series:
sqrt(n)*(n/(4*n-3))^(2*n)
arcctg((n+1)/(n^2-3))
3k
38
Plot:
(x-y)^2
Integral of d{x}:
(x-y)^2
Identical expressions
(x-y)^ two
(x minus y) squared
(x minus y) to the power of two
(x-y)2
x-y2
(x-y)²
(x-y) to the power of 2
x-y^2
Similar expressions
(x+y)^2

Sum of series/ (x-y)^2

Sum of series (x-y)^2

The solution

You have entered [src]

  11          
 ___          
 \  `         
  \          2
  /   (x - y) 
 /__,         
n = 1

$$\sum_{n=1}^{11} \left(x - y\right)^{2}$$

Sum((x - y)^2, (n, 1, 11))

The answer [src]

          2
11*(x - y)

$$11 \left(x - y\right)^{2}$$

11*(x - y)^2

Examples of finding the sum of a series

The Sum of the Power Series
```
x^n/n
```
```
(x-1)^n
```
Factorial
```
1/2^(n!)
```
```
n^2/n!
```
```
x^n/n!
```
```
k!/(n!*(n+k)!)
```
Flint Hills Series
```
csc(n)^2/n^3
```
Basel problem
```
1/n^2
```
```
1/n^4
```
```
1/n^6
```
Harmonic series
```
1/n
```
Grandi's series
```
(-1)^n
```
Alternating series
```
(-1)^(n + 1)/n
```
```
(n + 2)*(-1)^(n - 1)
```
```
(3*n - 1)/(-5)^n
```
```
(-1)^(n - 1)*n/(6*n - 5)
```
Newton–Mercator series
```
(-1)^(n + 1)/n*x^n
```
Exam the series for convergence
```
(3*n - 1)/(-5)^n
```