Mister Exam

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How to use it?
Sum of series:
1/((3n-2)(3n+1))
(2^n+(-1)^n)/5^n
(n+1)^2/2^(n-1)
1/n^n
Identical expressions
xi/ five
xi divide by 5
xi divide by five

Sum of series/ xi/5

Sum of series xi/5

The solution

You have entered [src]

  5      
 ___     
 \  `    
  \   x*I
   )  ---
  /    5 
 /__,    
n = 1

$$\sum_{n=1}^{5} \frac{i x}{5}$$

Sum((x*i)/5, (n, 1, 5))

The answer [src]

I*x

$$i x$$

i*x

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
```