Mister Exam

Lang:

Other calculators

How to use it?
Sum of series:
(n-1)/2^(n+1)
(-1)^n*x^n/(2*n+1)
i^n
arctg/n^2
Identical expressions
two *pi*(forty-four +n* zero . seventy-nine)
2 multiply by Pi multiply by (44 plus n multiply by 0.079)
two multiply by Pi multiply by (forty minus four plus n multiply by zero . seventy minus nine)
2pi(44+n0.079)
2pi44+n0.079
Similar expressions
2*pi*(44-n*0.079)

Sum of series/ 2*pi*(44+n*0.079)

Sum of series 2pi(44+n*0.079)

The solution

You have entered [src]

 400                  
 ___                  
 \  `                 
  \        /     n*79\
   )  2*pi*|44 + ----|
  /        \     1000/
 /__,                 
n = 1

$$\sum_{n=1}^{400} 2 \pi \left(\frac{79 n}{1000} + 44\right)$$

Sum((2*pi)*(44 + n*79/1000), (n, 1, 400))

The rate of convergence of the power series

The answer [src]

239358*pi
---------
    5

$$\frac{239358 \pi}{5}$$

239358*pi/5

Numerical answer [src]

150393.066875589145994388278987

150393.066875589145994388278987

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 2*pi*(44+n*0.079)

The solution

Examples of finding the sum of a series

Sum of series 2pi(44+n*0.079)