Mister Exam

Lang:

Other calculators

How to use it?
Sum of series:
10
x²
(xy)n
(n^11)^3:(n^5)^2
Derivative of:
10
Integral of d{x}:
10
10
Identical expressions
ten
10
Similar expressions
2^(1.5*n)*0.5^(n-1)*0.5^(n)

Sum of series/ 10

Sum of series 10

The solution

You have entered [src]

\sum_{n=10}^{1000} 10

Sum(10, (n, 10, 1000))

The rate of convergence of the power series

The answer [src]

9910

Numerical answer [src]

9910.00000000000000000000000000

9910.00000000000000000000000000

The graph

Sum of series 10

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
```