Mister Exam

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Sum of series:
1/((4n-3)(4n+1))
(-1)^n*x^n/(2*n+1)
(arcsin(1/n))^n
sen(ix)
Identical expressions
k^ two - three *k
k squared minus 3 multiply by k
k to the power of two minus three multiply by k
k2-3*k
k²-3*k
k to the power of 2-3*k
k^2-3k
k2-3k
Similar expressions
k^2+3*k

Sum of series/ k^2-3*k

Sum of series k^2-3*k

The solution

You have entered [src]

  30             
 ___             
 \  `            
  \    / 2      \
  /    \k  - 3*k/
 /__,            
n = 10

$$\sum_{n=10}^{30} \left(k^{2} - 3 k\right)$$

Sum(k^2 - 3*k, (n, 10, 30))

The answer [src]

            2
-63*k + 21*k

$$21 k^{2} - 63 k$$

-63*k + 21*k^2

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
```