Mister Exam

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Sum of series:
n+2
n^3*e^(2*n+1)/factorial(n)
lnn/n^2
(6x-1)^n/((n+1)*6^n)
Identical expressions
n+ two
n plus 2
n plus two
Similar expressions
n-2

Sum of series/ n+2

Sum of series n+2

The solution

You have entered [src]

 2021        
 __          
 \ `         
  )   (n + 2)
 /_,         
n = 0

$$\sum_{n=0}^{2021} \left(n + 2\right)$$

Sum(n + 2, (n, 0, 2021))

The rate of convergence of the power series

The answer [src]

$$2047275$$

Numerical answer [src]

2047275.00000000000000000000000

2047275.00000000000000000000000

The graph

Sum of series n+2

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
```