# Sum Command

From GeoGebra Manual

Revision as of 13:23, 10 August 2011 by Christina.biermair (talk | contribs)

- Sum[List]
- Calculates the sum of all list elements.
**Note:**This command works for numbers, points, vectors, text, and functions.**Example:**`Sum[{1, 2, 3}]`

gives you the number*a = 6*.`Sum[{x^2, x^3}]`

gives you*f(x) = x*.^{2}+ x^{3}`Sum[Sequence[i,i,1,100]]`

gives you the number*a = 5050*.`Sum[{(1, 2), (2, 3)}]`

gives you the point*A = (3, 5)*.`Sum[{(1, 2), 3}]`

gives you the point*B = (4, 2)*.`Sum[{"a","b","c"}]`

gives you the text*"abc"*.

- Sum[List, Number n of Elements]
- Calculates the sum of the first
*n*list elements. **Note:**This command works for numbers, points, vectors, text, and functions.**Example:**`Sum[{1, 2, 3, 4, 5, 6}, 4]`

gives you the number*a = 10*.

## CAS Syntax

Following syntax works only in CAS view

- Sum[<Expression f(t)>,<Variable t>,<Start Value s>,<End Value e>]
- Computes sum \sum_{t=s}^{e}f(t). End value might be infinity.
**Example:**`Sum[i^2, i, 1, 3]`

returns 14.`Sum[r^i, i,0,n]`

returns (1-r^(n+1))/(1-r).`Sum[(1/3)^i, i,0,Infinity]`

returns 3/2.