Mister Exam

Lang:

Sum of series/ xi+xi

Sum of series xi+xi

The solution

You have entered [src]

  5              
 __              
 \ `             
  )   (x*I + x*I)
 /_,             
n = 1

$$\sum_{n=1}^{5} \left(i x + i x\right)$$

Sum(x*i + x*i, (n, 1, 5))

The answer [src]

10*I*x

$$10 i x$$

10*i*x

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
```