Sigma Notation
You can specify an expression using: + , - , * , / , sq( ), sqrt( ) , cube( ) ,
power( , ) , round( ) , factorial( ) , abs( ) , sin( ) , cos( ) , tan( ) , ln( ) , exp( )
Exercises for students:
Evaluate the following sums and check your answers using the above application:
| 5 | | |
5 | | |
5 |
| Σ | sq(r) | , |
Σ | 2*r | , |
Σ | 2*r - 1 |
| r=1 | | |
r=1 | | |
r=1 |
|
| 5 | | |
5 | | |
5 |
| Σ | power(2,r) | , |
Σ | cube(r) | , |
Σ | power(2,r) |
| r=1 | | |
r=1 | | |
r=0 |
|
| 5 | | |
5 | | |
5 |
| Σ | factorial(r) | , |
Σ | cube(r) | , |
Σ | cube(r) |
| r=2 | | |
r=0 | | |
r=-2 |
|
| 6 | | |
6 | | |
-2 |
| Σ | power(-1,r)*r | , |
Σ | power(-1,r+1)*r | , |
Σ | r |
| r=1 | | |
r=1 | | |
r=-4 |
|
| 10 | | |
10 | | |
10 |
| Σ | 1 | , |
Σ | 1 | , |
Σ | 1 |
| r=1 | | |
r=0 | | |
r=8 |
|
| 10 | | |
10 | | |
10 |
| Σ | 6 | , |
Σ | 6 | , |
Σ | 6 |
| r=1 | | |
r=0 | | |
r=8 |
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