Mister Exam

Lang:

Other calculators

How to use it?
Sum of series:
2^(2*n-1)/9^n
k*x+b
cos(n*p)/4
1/(2n+1)*2^2n+1
Identical expressions
cos(n*p)/ four
co sinus of e of (n multiply by p) divide by 4
co sinus of e of (n multiply by p) divide by four
cos(np)/4
cosnp/4
cos(n*p) divide by 4

Sum of series/ cos(n*p)/4

Sum of series cos(n*p)/4

The solution

You have entered [src]

  oo          
 ___          
 \  `         
  \   cos(n*p)
   )  --------
  /      4    
 /__,         
n = 1

$$\sum_{n=1}^{\infty} \frac{\cos{\left(n p \right)}}{4}$$

Sum(cos(n*p)/4, (n, 1, oo))

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
```