Mister Exam

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Sum of series:
(cos(nx)*3^n)/2^n
(n+1)/factorial(n)
sin(pi*n/4)/ln(n)
sinx
Identical expressions
(cos(nx)* three ^n)/ two ^n
( co sinus of e of (nx) multiply by 3 to the power of n) divide by 2 to the power of n
( co sinus of e of (nx) multiply by three to the power of n) divide by two to the power of n
(cos(nx)*3n)/2n
cosnx*3n/2n
(cos(nx)3^n)/2^n
(cos(nx)3n)/2n
cosnx3n/2n
cosnx3^n/2^n
(cos(nx)*3^n) divide by 2^n

Sum of series (cos(nx)*3^n)/2^n

The solution

You have entered [src]

  oo             
____             
\   `            
 \              n
  \   cos(n*x)*3 
   )  -----------
  /         n    
 /         2     
/___,            
n = 1

$$\sum_{n=1}^{\infty} \frac{3^{n} \cos{\left(n x \right)}}{2^{n}}$$

Sum((cos(n*x)*3^n)/2^n, (n, 1, oo))

The answer [src]

  oo                 
 ___                 
 \  `                
  \    -n  n         
  /   2  *3 *cos(n*x)
 /__,                
n = 1

$$\sum_{n=1}^{\infty} 2^{- n} 3^{n} \cos{\left(n x \right)}$$

Sum(2^(-n)*3^n*cos(n*x), (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
```

Other calculators

How to use it?

Identical expressions

Sum of series (cos(nx)*3^n)/2^n

The solution

Examples of finding the sum of a series