Mister Exam

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Sum of series:
-8
sin
exp(n)
sin(n)/n^(3/2)
Integral of d{x}:
-8
Limit of the function:
-8
Identical expressions
- eight
minus 8
minus eight
Similar expressions
8

Sum of series/ -8

Sum of series -8

The solution

You have entered [src]

-1 + n   
 __      
 \ `     
  )    -8
 /_,     
i = 0

$$\sum_{i=0}^{n - 1} -8$$

Sum(-8, (i, 0, -1 + n))

The rate of convergence of the power series

The answer [src]

-8*n

$$- 8 n$$

-8*n

The graph

Sum of series -8

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
```