Mister Exam

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Sum of series:
xy
x*y
25
16
Integral of d{x}:
xy
Equation:
xy
Canonical form:
xy
Identical expressions
xy
Similar expressions
x^y/y!
x*y
sqrt(x^n+y^n)^2-(32^(1/3*n)*x*y)^n
x*y*z

Sum of series/ xy

Sum of series xy

The solution

You have entered [src]

  5      
 __      
 \ `     
  )   x*y
 /_,     
n = 1

\sum_{n=1}^{5} x y

Sum(x*y, (n, 1, 5))

The answer [src]

5*x*y

5 x y

5*x*y

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
```