Difference between revisions of "Sequence Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|cas=true|list}}
 
{{command|cas=true|list}}
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; Sequence[ <Expression>, <Variable i>, <Number a>, <Number b>]
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; Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b> ]
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:Yields a list of objects created using the given expression and the index ''i'' that ranges from number ''a'' to number ''b''.
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:Yields a list of objects created using the given expression and the index ''i'' that ranges from start value ''a'' to end value ''b''.
−
:{{example|1=<div><code><nowiki>L = Sequence[(2, i), i, 1, 5]</nowiki></code> creates a list of points whose ''y''-coordinates range from 1 to 5: <code><nowiki>L = {(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}</nowiki></code>.</div>}}
+
:{{example|1=<div><code><nowiki>Sequence[(2, i), i, 1, 5]</nowiki></code> creates a list of points whose ''y''-coordinates range from 1 to 5: ''{(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}''.</div>}}
−
;Sequence[ <Expression>, <Variable i>, <Number a>, <Number b>, <Increment>]
+
; Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b>, <Increment> ]
−
:Yields a list of objects created using the given expression and the index ''i'' that ranges from number ''a'' to number ''b'' with given increment.
+
:Yields a list of objects created using the given expression and the index ''i'' that ranges from start value ''a'' to end value ''b'' with given increment.
−
:{{example|1=<div><code><nowiki>L = Sequence[(2, i), i, 1, 3, 0.5]</nowiki></code> creates a list of points whose ''y''-coordinates range from 1 to 3 with an increment of 0.5: <code><nowiki>L = {(2, 1), (2, 1.5), (2, 2), (2, 2.5), (2, 3)}</nowiki></code>.</div>}}
+
:{{example|1=<div><code><nowiki>Sequence[(2, i), i, 1, 3, 0.5]</nowiki></code> creates a list of points whose ''y''-coordinates range from 1 to 3 with an increment of ''0.5'': ''{(2, 1), (2, 1.5), (2, 2), (2, 2.5), (2, 3)}''.</div>}}
 
:{{note| 1=Since the parameters ''a'' and ''b'' are dynamic you could use [[Slider Tool|slider]] variables in both cases above as well.}}
 
:{{note| 1=Since the parameters ''a'' and ''b'' are dynamic you could use [[Slider Tool|slider]] variables in both cases above as well.}}
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; Sequence[ <Number b> ]
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; Sequence[ <End Value b> ]
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:Creates list of numbers 1 to ''b'', e.g. {1, 2, ..., b}.  
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:Creates list of numbers from 1 to end value ''b''.  
−
:{{example| 1=<div><code><nowiki>L = 2^Sequence[4]</nowiki></code> creates list ''{2, 4, 8, 16}''.</div>}}
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:{{example| 1=<div>
 +
:*<code><nowiki>Sequence[4]</nowiki></code> creates list ''{1, 2, 3, 4}''.
 +
:*<code><nowiki>2^Sequence[4]</nowiki></code> creates list ''{2, 4, 8, 16}''.</div>}}
 
:{{note| 1=See [[Lists]] for more information on list operations.}}
 
:{{note| 1=See [[Lists]] for more information on list operations.}}
 
==CAS Syntax==
 
==CAS Syntax==
−
;Sequence[ <Expression>, <Variable i>, <Number a>, <Number b> ]
+
;Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b> ]
−
:Yields a list of objects created using the given expression and the index ''i'' that ranges from number ''a'' to number ''b''.
+
:Yields a list of objects created using the given expression and the index ''i'' that ranges from start value ''a'' to end value ''b''.
 
:{{example|1=<div><code><nowiki>Sequence[x^i, i, 1, 10]</nowiki></code> generates the sequence ''{x, x², x³, x⁴, x⁵, x⁶, x⁷, x⁸, x⁹, x¹⁰}''.</div>}}
 
:{{example|1=<div><code><nowiki>Sequence[x^i, i, 1, 10]</nowiki></code> generates the sequence ''{x, x², x³, x⁴, x⁵, x⁶, x⁷, x⁸, x⁹, x¹⁰}''.</div>}}
−
;Sequence[ <Expression>, <Variable i>, <Number a>, <Number b>, <Increment>]
+
;Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b>, <Increment> ]
−
:Yields a list of objects created using the given expression and the index ''i'' that ranges from number ''a'' to number ''b'' with given increment.
+
:Yields a list of objects created using the given expression and the index ''i'' that ranges from start value ''a'' to end value ''b'' with given increment.
 
:{{example|1=<div><code><nowiki>Sequence[x^i, i, 1, 10, 2]</nowiki></code> generates the sequence ''{x, x³, x⁵, x⁷, x⁹}''.</div>}}
 
:{{example|1=<div><code><nowiki>Sequence[x^i, i, 1, 10, 2]</nowiki></code> generates the sequence ''{x, x³, x⁵, x⁷, x⁹}''.</div>}}
−
;Sequence[ <Number b> ]
+
:{{note| 1=Since the parameters ''a'' and ''b'' are dynamic you could use [[Slider Tool|slider]] variables in both cases above as well.}}
−
:Creates list of numbers 1 to ''b'', e.g. {1, 2, ..., b}.  
+
;Sequence[ <End Value b> ]
 +
:Creates list of numbers 1 to end value ''b''.  
 
:{{example|1=<div><code><nowiki>Sequence[5]</nowiki></code> generates the sequence ''{1, 2, 3, 4, 5}''.</div>}}
 
:{{example|1=<div><code><nowiki>Sequence[5]</nowiki></code> generates the sequence ''{1, 2, 3, 4, 5}''.</div>}}
 +
:{{note| 1=See [[Lists]] for more information on list operations.}}

Revision as of 11:03, 24 May 2013


Sequence

This article is about GeoGebra command.

Command Categories (All commands)


Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b> ]
Yields a list of objects created using the given expression and the index i that ranges from start value a to end value b.
Example:
Sequence[(2, i), i, 1, 5] creates a list of points whose y-coordinates range from 1 to 5: {(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}.
Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b>, <Increment> ]
Yields a list of objects created using the given expression and the index i that ranges from start value a to end value b with given increment.
Example:
Sequence[(2, i), i, 1, 3, 0.5] creates a list of points whose y-coordinates range from 1 to 3 with an increment of 0.5: {(2, 1), (2, 1.5), (2, 2), (2, 2.5), (2, 3)}.
Note: Since the parameters a and b are dynamic you could use slider variables in both cases above as well.
Sequence[ <End Value b> ]
Creates list of numbers from 1 to end value b.
Example:
  • Sequence[4] creates list {1, 2, 3, 4}.
  • 2^Sequence[4] creates list {2, 4, 8, 16}.
Note: See Lists for more information on list operations.

CAS Syntax

Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b> ]
Yields a list of objects created using the given expression and the index i that ranges from start value a to end value b.
Example:
Sequence[x^i, i, 1, 10] generates the sequence {x, x², x³, x⁴, x⁵, x⁶, x⁷, x⁸, x⁹, x¹⁰}.
Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b>, <Increment> ]
Yields a list of objects created using the given expression and the index i that ranges from start value a to end value b with given increment.
Example:
Sequence[x^i, i, 1, 10, 2] generates the sequence {x, x³, x⁵, x⁷, x⁹}.
Note: Since the parameters a and b are dynamic you could use slider variables in both cases above as well.
Sequence[ <End Value b> ]
Creates list of numbers 1 to end value b.
Example:
Sequence[5] generates the sequence {1, 2, 3, 4, 5}.
Note: See Lists for more information on list operations.
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