Mister Exam

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Sum of series:
3i
n^2*x^n
(n^3+n+5)/(n+6)
x^(n-1)/(n!)^(1/2)
Identical expressions
(n+ two)* sixty-five
(n plus 2) multiply by 65
(n plus two) multiply by sixty minus five
(n+2)65
n+265
Similar expressions
(n-2)*65

Sum of series/ (n+2)*65

Sum of series (n+2)*65

The solution

You have entered [src]

 2021           
 __             
 \ `            
  )   (n + 2)*65
 /_,            
n = 0

$$\sum_{n=0}^{2021} 65 \left(n + 2\right)$$

Sum((n + 2)*65, (n, 0, 2021))

The rate of convergence of the power series

The answer [src]

133072875

$$133072875$$

133072875

Numerical answer [src]

133072875.000000000000000000000

133072875.000000000000000000000

The graph

Sum of series (n+2)*65

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
```