# Difference between revisions of "Sum Command"

From GeoGebra Manual

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==CAS Syntax== | ==CAS Syntax== | ||

Following syntax works only in CAS view | Following syntax works only in CAS view | ||

− | ;Sum[ <Expression f(t)>,<Variable t>,<Start Value s>,<End Value e>] | + | ;Sum[ <Expression f(t)>, <Variable t>, <Start Value s>, <End Value e>] |

:Computes sum <math>\sum_{t=s}^{e}f(t)</math>. End value might be infinity. | :Computes sum <math>\sum_{t=s}^{e}f(t)</math>. End value might be infinity. | ||

:{{example|1=<div> | :{{example|1=<div> |

## Revision as of 13:23, 25 August 2011

- Sum[ <List> ]
- Calculates the sum of all list elements.
**Example:**`Sum[{1, 2, 3}]`

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

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

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

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

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

yields the text*"abc"*.

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

yields the number*a = 10*.

**Note:**This command works for numbers, points, vectors, text, and functions.

## 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]`

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

yields*1- r*.^{\frac{n+1}{1-r}}`Sum[(1/3)^i, i, 0, Infinity]`

yields*\frac{3}{2}*.