Mister Exam

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Sum of series:
1/((3n-2)(3n+1))
5/n
(1000^n)/n!
((-1)^n*(3*cos(n*x)-pi*n*sin(n*x))-3*cos(n*x+pi*n/3))/n^2
The double integral of:
7/2
Limit of the function:
7/2
Identical expressions
seven / two
7 divide by 2
seven divide by two
Similar expressions
(9*n-7)/2^n
(-1)^k*(k-7)/(2*factorial(n-k))
(6*n-7)/2^n

Sum of series/ 7/2

Sum of series 7/2

The solution

You have entered [src]

  n      
 __      
 \ `     
  )   7/2
 /_,     
i = 2

$$\sum_{i=2}^{n} \frac{7}{2}$$

Sum(7/2, (i, 2, n))

The rate of convergence of the power series

The answer [src]

  7   7*n
- - + ---
  2    2

$$\frac{7 n}{2} - \frac{7}{2}$$

-7/2 + 7*n/2

The graph

Sum of series 7/2

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
```