Difference between revisions of "Sum Command"
From GeoGebra Manual
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;Sum[ <List> ] | ;Sum[ <List> ] | ||
:Calculates the sum of all list elements. | :Calculates the sum of all list elements. | ||
− | :{{ | + | :{{examples|1=<div> |
:* <code><nowiki>Sum[{1, 2, 3}]</nowiki></code> yields the number ''a = 6''. | :* <code><nowiki>Sum[{1, 2, 3}]</nowiki></code> yields the number ''a = 6''. | ||
:* <code><nowiki>Sum[{x^2, x^3}]</nowiki></code> yields ''f(x) = x<sup>2</sup> + x<sup>3</sup>''. | :* <code><nowiki>Sum[{x^2, x^3}]</nowiki></code> yields ''f(x) = x<sup>2</sup> + x<sup>3</sup>''. | ||
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;Sum[ <List> ] | ;Sum[ <List> ] | ||
:Calculates the sum of all list elements. | :Calculates the sum of all list elements. | ||
− | :{{ | + | :{{examples|1=<div> |
:* <code><nowiki>Sum[{1, 2, 3}]</nowiki></code> yields ''6''. | :* <code><nowiki>Sum[{1, 2, 3}]</nowiki></code> yields ''6''. | ||
:* <code><nowiki>Sum[{a, b, c}]</nowiki></code> yields ''a + b + c''.</div>}} | :* <code><nowiki>Sum[{a, b, c}]</nowiki></code> yields ''a + b + c''.</div>}} | ||
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;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. | ||
− | :{{ | + | :{{examples|1=<div> |
:* <code><nowiki>Sum[i^2, i, 1, 3]</nowiki></code> yields ''14''. | :* <code><nowiki>Sum[i^2, i, 1, 3]</nowiki></code> yields ''14''. | ||
:* <code><nowiki>Sum[r^i, i, 0, n]</nowiki></code> yields ''<math>\frac{r^{n+1} - 1}{r - 1}</math>''. | :* <code><nowiki>Sum[r^i, i, 0, n]</nowiki></code> yields ''<math>\frac{r^{n+1} - 1}{r - 1}</math>''. |
Revision as of 19:27, 19 December 2012
- 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, 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
- Sum[ <List> ]
- Calculates the sum of all list elements.
- Examples:
Sum[{1, 2, 3}]
yields 6.Sum[{a, b, c}]
yields a + b + c.
- 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.
- Examples:
Sum[i^2, i, 1, 3]
yields 14.Sum[r^i, i, 0, n]
yields \frac{r^{n+1} - 1}{r - 1}.Sum[(1/3)^i, i, 0, Infinity]
yields \frac{3}{2}.
Following text is about a feature that is supported only in GeoGebra 4.2.
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