Difference between revisions of "Sum Command"
From GeoGebra Manual
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{{command|statistics}} | {{command|statistics}} | ||
| − | ; Sum[List]: Calculates the sum of all list elements. | + | ;Sum[ <List> ]: Calculates the sum of all list elements. |
| − | : {{ | + | :{{example|1=<div> |
| − | + | :* <code><nowiki>Sum[{1, 2, 3}]</nowiki></code> yields the number ''a = 6''. | |
| − | :* <code>Sum[{1, 2, 3}]</code> | + | :* <code><nowiki>Sum[{x^2, x^3}]</nowiki></code> yields ''f(x) = x<sup>2</sup> + x<sup>3</sup>''. |
| − | :* <code>Sum[{x^2, x^3}]</code> | + | :* <code><nowiki>Sum[Sequence[i, i, 1, 100]]</nowiki></code> yields the number ''a = 5050''. |
| − | :* <code>Sum[Sequence[i,i,1,100]]</code> | + | :* <code><nowiki>Sum[{(1, 2), (2, 3)}]</nowiki></code> yields the point ''A = (3, 5)''. |
| − | :* <code>Sum[{(1, 2), (2, 3)}]</code> | + | :* <code><nowiki>Sum[{(1, 2), 3}]</nowiki></code> yields the point ''B = (4, 2)''. |
| − | :* <code>Sum[{(1, 2), 3}]</code> | + | :* <code><nowiki>Sum[{"a", "b", "c"}]</nowiki></code> yields the text ''"abc"''.</div>}} |
| − | :* <code>Sum[{"a","b","c"}]</code> | + | :{{note| 1=This command works for numbers, points, vectors, text, and functions.}} |
| − | + | ;Sum[ <List>, <Number n of Elements> ] | |
| − | ; Sum[List, Number n of Elements]: Calculates the sum of the first ''n'' list elements. | + | :Calculates the sum of the first ''n'' list elements. |
| − | : {{ | + | :{{example| 1=<code>Sum[{1, 2, 3, 4, 5, 6}, 4]</code> gives you the number ''a = 10''.}} |
| − | + | :{{note| This command works for numbers, points, vectors, text, and functions.}} | |
| − | |||
==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> |
| − | :*<code><nowiki>Sum[i^2, i, 1, 3]</nowiki></code> | + | :*<code><nowiki>Sum[i^2, i, 1, 3]</nowiki></code> yields ''14''. |
| − | :*<code><nowiki>Sum[r^i, i,0,n]</nowiki></code> | + | :*<code><nowiki>Sum[r^i, i,0,n]</nowiki></code> yields ''1- r<sup><math>\frac{n+1}{1-r}</math></sup>''. |
| − | :*<code><nowiki>Sum[(1/3)^i, i,0,Infinity]</nowiki></code> | + | :*<code><nowiki>Sum[(1/3)^i, i,0,Infinity]</nowiki></code> yields ''<math>\frac{3}{2}</math>''.</div>}} |
Revision as of 13:21, 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) = 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, 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]gives you 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}.
