Mister Exam

Lang:

Other calculators

How to use it?
Sum of series:
(2^n+(-1)^n)/5^n
2^n+1(n^3+1)/(n+1)!
(x+11)^2
((n^2+5n-3)/(4n+7))^n
Integral of d{x}:
180
Identical expressions
one hundred and eighty
180

Sum of series/ 180

Sum of series 180

The solution

You have entered [src]

$$\sum_{n=1}^{50} 180$$

Sum(180, (n, 1, 50))

The rate of convergence of the power series

The answer [src]

$$9000$$

Numerical answer [src]

9000.00000000000000000000000000

9000.00000000000000000000000000

The graph

Sum of series 180

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
```