Mister Exam

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Sum of series:
1/n^6
(factorial(n-1)/factorial(n+1))^(n*(n+1))
64
4^(k+5)/9^(k+1)
Derivative of:
18
The double integral of:
18
18
Identical expressions
eighteen
18
Similar expressions
(7^(n+1))(8^-n)

Sum of series/ 18

Sum of series 18

The solution

You have entered [src]

\sum_{n=1}^{10} 18

Sum(18, (n, 1, 10))

The rate of convergence of the power series

The answer [src]

180

Numerical answer [src]

180.000000000000000000000000000

180.000000000000000000000000000

The graph

Sum of series 18

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
```