Mister Exam

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Sum of series:
1/n!
e^n/n^10
(1+sin(x))/n
3^n/factorial(n)
Identical expressions
n*sqrti
n multiply by square root of i
n*√i
nsqrti
Similar expressions
nsqrti
5*sin(sqrt(i*0.2))/25
nsqrt(i)
n*sqrt(i)

Sum of series n*sqrti

The solution

You have entered [src]

  15         
 ___         
 \  `        
  \       ___
  /   n*\/ i 
 /__,        
i = 1

$$\sum_{i=1}^{15} \sqrt{i} n$$

Sum(n*sqrt(i), (i, 1, 15))

The answer [src]

  /      ___     ___     ___     ____     ____     ____     ____     ____       ___       ___\
n*\6 + \/ 5  + \/ 6  + \/ 7  + \/ 10  + \/ 11  + \/ 13  + \/ 14  + \/ 15  + 3*\/ 2  + 3*\/ 3 /

$$n \left(\sqrt{5} + \sqrt{6} + \sqrt{7} + \sqrt{10} + \sqrt{11} + \sqrt{13} + \sqrt{14} + \sqrt{15} + 3 \sqrt{2} + 3 \sqrt{3} + 6\right)$$

n*(6 + sqrt(5) + sqrt(6) + sqrt(7) + sqrt(10) + sqrt(11) + sqrt(13) + sqrt(14) + sqrt(15) + 3*sqrt(2) + 3*sqrt(3))

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

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Identical expressions

Similar expressions

Sum of series n*sqrti

The solution

Examples of finding the sum of a series