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Sum of series:
1/n^2+2n
1/2^(2n-2)
(3100*1200)
|1-(-1)^n|
Identical expressions
| one -(- one)^n|
module of 1 minus ( minus 1) to the power of n|
module of one minus ( minus one) to the power of n|
|1-(-1)n|
|1--1n|
|1--1^n|
Similar expressions
|1+(-1)^n|
|1-(1)^n|

Sum of series/ |1-(-1)^n|

Sum of series |1-(-1)^n|

The solution

You have entered [src]

  oo             
 ___             
 \  `            
  \   |        n|
  /   |1 - (-1) |
 /__,            
n = 1

$$\sum_{n=1}^{\infty} \left|{1 - \left(-1\right)^{n}}\right|$$

Sum(Abs(1 - (-1)^n), (n, 1, oo))

The rate of convergence of the power series

The answer [src]

  oo              
 ___              
 \  `             
  \   |         n|
  /   |-1 + (-1) |
 /__,             
n = 1

$$\sum_{n=1}^{\infty} \left|{\left(-1\right)^{n} - 1}\right|$$

Sum(Abs(-1 + (-1)^n), (n, 1, oo))

The graph

Sum of series |1-(-1)^n|

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
```