Mister Exam

Lang:

Other calculators

How to use it?
Sum of series:
n^n/2^(n+1)
9/(9n^2+21n-8)
(3^(n+2)-2*6^n)/18^n
1/(2n+5)*(2n+7)
Identical expressions
six , fourteen *(forty +n* zero . five)
6,14 multiply by (40 plus n multiply by 0.5)
six , fourteen multiply by (forty plus n multiply by zero . five)
6,14(40+n0.5)
6,1440+n0.5
Similar expressions
6,14*(40-n*0.5)

Sum of series/ 6,14*(40+n*0.5)

Sum of series 6,14(40+n0.5)

The solution

You have entered [src]

 400              
____              
\   `             
 \        /     n\
  \   307*|40 + -|
   )      \     2/
  /   ------------
 /         50     
/___,             
n = 1

$$\sum_{n=1}^{400} \frac{307 \left(\frac{n}{2} + 40\right)}{50}$$

Sum(307*(40 + n/2)/50, (n, 1, 400))

The rate of convergence of the power series

The answer [src]

$$344454$$

Numerical answer [src]

344454.000000000000000000000000

344454.000000000000000000000000

The graph

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
```

Other calculators

How to use it?

Identical expressions

Similar expressions

Sum of series 6,14*(40+n*0.5)

The solution

Examples of finding the sum of a series

Sum of series 6,14(40+n0.5)