Mister Exam

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Sum of series:
5^(n+2)/(4^(n-1)*7^n)
38
arctg(5/n)/n!
ln((n^2+n+3)/(n^2+n+2))
Identical expressions
zero . seventy-nine * ten ^- six
0.79 multiply by 10 to the power of minus 6
zero . seventy minus nine multiply by ten to the power of minus six
0.79*10-6
0.7910^-6
0.7910-6
Similar expressions
0.79*10^+6

Sum of series/ 0.79*10^-6

Sum of series 0.79*10^-6

The solution

You have entered [src]

 200           
 ___           
 \  `          
  \   79*1.0e-6
   )  ---------
  /      100   
 /__,          
n = 1

$$\sum_{n=1}^{200} \frac{1.0 \cdot 10^{-6} \cdot 79}{100}$$

Sum(79*1.0e-6/100, (n, 1, 200))

The rate of convergence of the power series

The answer [src]

0.000158000000000000

$$0.000158$$

0.000158000000000000

Numerical answer [src]

0.000157999999999999614544111601038

0.000157999999999999614544111601038

The graph

Sum of series 0.79*10^-6

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
```