Difference between revisions of "Sequence Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|list}}
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{{command|cas=true|list}}
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; Sequence( <Expression>, <Variable k>, <Start Value a>, <End Value 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 ''k'' that ranges from start value ''a'' to end value ''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''.
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:{{examples|1=<div>
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:{{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>}}
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:*<code><nowiki>Sequence((2, k), k, 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)}''
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; Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b>, <Increment> ]
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:*<code>Sequence(x^k, k, 1, 10)</code> creates the list {''x, x², x³, x⁴, x⁵, x⁶, x⁷, x⁸, x⁹, x¹⁰''}</div>}}
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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'' with given increment.
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; Sequence( <Expression>, <Variable k>, <Start Value a>, <End Value b>, <Increment> )
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:{{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>}}
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:Yields a list of objects created using the given expression and the index ''k'' that ranges from start value ''a'' to end value ''b'' with given increment.
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:{{examples|1=<div>
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:*<code><nowiki>Sequence((2, k), k, 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)}''
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:*<code>Sequence(x^k, k, 1, 10, 2)</code> creates the list {''x, x³, x⁵, x⁷, x⁹''}.</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[ <End Value b> ]
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; Sequence( <End Value > )
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:Creates list of numbers from 1 to end value ''b''.  
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:Creates a list of integers from 1 to the given end value.  
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:{{example| 1=<div>
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:{{examples| 1=<div>
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:*<code><nowiki>Sequence[4]</nowiki></code> creates list ''{1, 2, 3, 4}''.
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:*<code><nowiki>Sequence(4)</nowiki></code> creates the list ''{1, 2, 3, 4}''.
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:*<code><nowiki>2^Sequence[4]</nowiki></code> creates list ''{2, 4, 8, 16}''.</div>}}
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:*<code><nowiki>2^Sequence(4)</nowiki></code> creates the list ''{2, 4, 8, 16}''.</div>}}
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:{{note| 1=See [[Lists]] for more information on list operations.}}
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;Sequence( <Start value k >, <End value n > )
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==CAS Syntax==
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: Creates a list of integers from ''k'' to ''n'' (increasing or decreasing).  
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;Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b> ]
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:{{Examples| 1=<div>
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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''.
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:*<code><nowiki>Sequence(7,13)</nowiki></code> creates the list {''7, 8, 9, 10, 11, 12, 13''}
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:{{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>}}
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:*<code><nowiki>Sequence(18,14)</nowiki></code> creates the list {''18, 17, 16, 15, 14''}
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;Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b>, <Increment> ]
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:*<code><nowiki>Sequence(-5, 5)</nowiki></code> creates the list {''-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5''}.  
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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'' with given increment.
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::{{Note|This syntax can be further simplified: instead of using e.g. the formal <code><nowiki>Sequence(7,13)</nowiki></code> it is possible to obtain the same result by typing in the input bar <code><nowiki>7..13</nowiki></code> .}}</div>}}
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:{{example|1=<div><code><nowiki>Sequence[x^i, i, 1, 10, 2]</nowiki></code> generates the sequence ''{x, x³, x⁵, x⁷, x⁹}''.</div>}}
 
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:{{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[ <End Value b> ]
 
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:Creates list of numbers 1 to end value ''b''.
 
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:{{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.}}
 
:{{note| 1=See [[Lists]] for more information on list operations.}}

Latest revision as of 23:26, 6 August 2019

Sequence

This article is about GeoGebra command.

Command Categories (All commands)


Sequence( <Expression>, <Variable k>, <Start Value a>, <End Value b> )
Yields a list of objects created using the given expression and the index k that ranges from start value a to end value b.
Examples:
  • Sequence((2, k), k, 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(x^k, k, 1, 10) creates the list {x, x², x³, x⁴, x⁵, x⁶, x⁷, x⁸, x⁹, x¹⁰}
Sequence( <Expression>, <Variable k>, <Start Value a>, <End Value b>, <Increment> )
Yields a list of objects created using the given expression and the index k that ranges from start value a to end value b with given increment.
Examples:
  • Sequence((2, k), k, 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)}
  • Sequence(x^k, k, 1, 10, 2) creates the list {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 > )
Creates a list of integers from 1 to the given end value.
Examples:
  • Sequence(4) creates the list {1, 2, 3, 4}.
  • 2^Sequence(4) creates the list {2, 4, 8, 16}.
Sequence( <Start value k >, <End value n > )
Creates a list of integers from k to n (increasing or decreasing).
Examples:
  • Sequence(7,13) creates the list {7, 8, 9, 10, 11, 12, 13}
  • Sequence(18,14) creates the list {18, 17, 16, 15, 14}
  • Sequence(-5, 5) creates the list {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}.
Note: This syntax can be further simplified: instead of using e.g. the formal Sequence(7,13) it is possible to obtain the same result by typing in the input bar 7..13 .
Note: See Lists for more information on list operations.
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