Mister Exam

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Sum of series:
log5x
n
36
sin(3n)
Derivative of:
log5x
Graphing y =:
log5x
Identical expressions
log5x
logarithm of 5x
Similar expressions
log5(x)

Sum of series/ log5x

Sum of series log5x

The solution

You have entered [src]

  12          
 __           
 \ `          
  )   log(5*x)
 /_,          
n = 2

\sum_{n=2}^{12} \log{\left(5 x \right)}

Sum(log(5*x), (n, 2, 12))

The answer [src]

11*log(5*x)

11 \log{\left(5 x \right)}

11*log(5*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
```