Mister Exam

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Sum of series:
x^n/n
1/(4n^2-1)
(7^n-2^n)/14^n
3^(n-1)/8^(n-1)
Identical expressions
k^ two + three *k
k squared plus 3 multiply by k
k to the power of two plus 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/
 /__,            
k = 10

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

Sum(k^2 + 3*k, (k, 10, 30))

The rate of convergence of the power series

The answer [src]

$$10430$$

Numerical answer [src]

10430.0000000000000000000000000

10430.0000000000000000000000000

The graph

Sum of series k^2+3*k

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
```