Difference between revisions of "Sum Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}} | ||
| − | ;Sum | + | ;Sum( <List> ) |
:Calculates the sum of all list elements. | :Calculates the sum of all list elements. | ||
:{{examples|1=<div> | :{{examples|1=<div> | ||
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:* <code><nowiki>Sum[{(1, 2), 3}]</nowiki></code> yields the point ''B = (4, 5)''. | :* <code><nowiki>Sum[{(1, 2), 3}]</nowiki></code> yields the point ''B = (4, 5)''. | ||
:* <code><nowiki>Sum[{"a", "b", "c"}]</nowiki></code> yields the text ''"abc"''.</div>}} | :* <code><nowiki>Sum[{"a", "b", "c"}]</nowiki></code> yields the text ''"abc"''.</div>}} | ||
| − | ;Sum | + | ;Sum( <List>, <Number of Elements> ) |
:Calculates the sum of the first ''n'' list elements. | :Calculates the sum of the first ''n'' list elements. | ||
:{{example| 1=<div><code>Sum[{1, 2, 3, 4, 5, 6}, 4]</code> yields the number ''a = 10''.</div>}} | :{{example| 1=<div><code>Sum[{1, 2, 3, 4, 5, 6}, 4]</code> yields the number ''a = 10''.</div>}} | ||
| − | ;Sum | + | ;Sum( <List>, <List of Frequencies> ) |
:Returns the sum of given list of numbers considering the frequencies. | :Returns the sum of given list of numbers considering the frequencies. | ||
:{{example|1=<div><code><nowiki>Sum[{1, 2, 3, 4, 5}, {3, 2, 4, 4, 1}]</nowiki></code> yields ''a = 40''.</div>}} | :{{example|1=<div><code><nowiki>Sum[{1, 2, 3, 4, 5}, {3, 2, 4, 4, 1}]</nowiki></code> yields ''a = 40''.</div>}} | ||
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The following command only works in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]]. | The following command only works in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]]. | ||
| − | ;Sum | + | ;Sum( <Expression>, <Variable>, <Start Value>, <End Value> ) |
:Computes sum <math>\sum_{t=Start Value}^{End Value}f(t)</math>. End value might be infinity. | :Computes sum <math>\sum_{t=Start Value}^{End Value}f(t)</math>. End value might be infinity. | ||
:{{examples|1=<div> | :{{examples|1=<div> | ||
Revision as of 17:17, 7 October 2017
- Sum( <List> )
- Calculates the sum of all list elements.
- Examples:
Sum[{1, 2, 3}]yields the number a = 6.Sum[{x^2, x^3}]yields f(x) = x2 + x3.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, 5).Sum[{"a", "b", "c"}]yields the text "abc".
- Sum( <List>, <Number 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.
- Sum( <List>, <List of Frequencies> )
- Returns the sum of given list of numbers considering the frequencies.
- Example:
Sum[{1, 2, 3, 4, 5}, {3, 2, 4, 4, 1}]yields a = 40.
Note: This command works for numbers, points, vectors, text, and functions.
CAS Syntax
The following command only works in the 
CAS View.
- Sum( <Expression>, <Variable>, <Start Value>, <End Value> )
- Computes sum \sum_{t=Start Value}^{End Value}f(t). End value might be infinity.
- Examples:
Sum[i^2, i, 1, 3]yields 14.Sum[r^i, i, 0, n]yields \frac{r^{n+1} }{r - 1} - \frac{1}{r - 1}.Sum[(1/3)^i, i, 0, Infinity]yields \frac{3}{2}.
