Difference between revisions of "Sum Command"

From GeoGebra Manual
Jump to: navigation, search
m (changed CAS syntax description)
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)")
Line 1: Line 1:
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
;Sum[ <List> ]
+
;Sum( <List> )
 
:Calculates the sum of all list elements.
 
:Calculates the sum of all list elements.
 
:{{examples|1=<div>
 
:{{examples|1=<div>
Line 9: Line 9:
 
:* <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[ <List>, <Number of Elements> ]
+
;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[ <List>, &lt;List of Frequencies> ]
+
;Sum( <List>, &lt;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>}}
Line 19: Line 19:
 
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[ <Expression>, <Variable>, <Start Value>, <End Value> ]
+
;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 16:17, 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 Menu view cas.svg 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}.
© 2022 International GeoGebra Institute