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Sum of series:
6/9n^2+12n-5
5^n
1/(3n+1)(3n+4)
((-1)^n)*((x^n)/(2n*n!))
Identical expressions
six , twenty-four (zero , four -n0, one)
6,24(0,4 minus n0,01)
six , twenty minus four (zero , four minus n0, one)
6,240,4-n0,01
Similar expressions
6,24(0,4+n0,01)

Sum of series/ 6,24(0,4-n0,01)

Sum of series 6,24(0,4-n0,01)

The solution

You have entered [src]

  40                    
 ___                    
 \  `                   
  \   156*(2/5 - n*0.01)
   )  ------------------
  /           25        
 /__,                   
n = 0

$$\sum_{n=0}^{40} \frac{156 \left(- 0.01 n + \frac{2}{5}\right)}{25}$$

Sum(156*(2/5 - n*0.01)/25, (n, 0, 40))

The rate of convergence of the power series

The answer [src]

51.1680000000000

$$51.168$$

51.1680000000000

Numerical answer [src]

51.1679999999999921556081972085

51.1679999999999921556081972085

The graph

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
```

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How to use it?

Identical expressions

Similar expressions

Sum of series 6,24(0,4-n0,01)

The solution

Examples of finding the sum of a series