Mister Exam

Lang:

Other calculators

How to use it?
Sum of series:
1/(4n^2-9)
n*3^n+1
sin(n+1/n)
(7*k-8)*(7*k+9)-(7*k-3)*(7*k+4)
Limit of the function:
-6
Identical expressions
- six
minus 6
minus six
Similar expressions
6

Sum of series/ -6

Sum of series -6

The solution

You have entered [src]

  6     
 __     
 \ `    
  )   -6
 /_,    
n = 1

$$\sum_{n=1}^{6} -6$$

Sum(-6, (n, 1, 6))

The rate of convergence of the power series

The answer [src]

-36

$$-36$$

-36

Numerical answer [src]

-36.0000000000000000000000000000

-36.0000000000000000000000000000

The graph

Sum of series -6

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
```