Difference between revisions of "Sequence Command"

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<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 
<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 
{{command|list}}
 
{{command|list}}
; Sequence[Expression, Variable i, Number a, Number b]: 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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; Sequence[ <Expression>, <Variable i>, <Number a>, <Number b>]
{{Example|1=<code>L = Sequence[(2, i), i, 1, 5]</code> creates a list of points whose ''y''-coordinates range from 1 to 5: <code>L = {(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}</code>}}
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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''.
; Sequence[Expression, Variable i, Number a, Number 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.
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:{{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=<code>L = Sequence[(2, i), i, 1, 3, 0.5]</code> creates a list of points whose ''y''-coordinates range from 1 to 3 with an increment of 0.5: <code>L = {(2, 1), (2, 1.5), (2, 2), (2, 2.5), (2, 3)}</code>.}}
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;Sequence[ <Expression>, <Variable i>, <Number a>, <Number b>, <Increment>]
{{Note|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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: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.
; Sequence[<Number b>]
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:{{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>}}
:Creates list of numbers 1 to ''b'', e.g. {1,2,...,b}.  
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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.}}
{{Example| 1=<code>L = 2^Sequence[4]</code> creates list {2,4,8,16}. See [[Lists]] for more information on list operations.}}
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; Sequence[ <Number b> ]
 
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:Creates list of numbers 1 to ''b'', e.g. {1, 2, ..., b}.  
==CAS Syntaxes==
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:{{example| 1=<div><code><nowiki>L = 2^Sequence[4]</nowiki></code> creates list ''{2, 4, 8, 16}''.</div>}}
 
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:{{note| 1=See [[Lists]] for more information on list operations.}}
{{command|list}}
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==CAS Syntax==
; Sequence[Expression, Variable i, Number a, Number b]: Yields a list of objects created using the given expression and the index ''i'' that ranges from number ''a'' to number ''b''.
+
;Sequence[ <Expression>, <Variable i>, <Number a>, <Number b> ]
; Sequence[Expression, Variable i, Number a, Number 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 number ''a'' to number ''b''.
; Sequence[<Number b>]:Creates list of numbers 1 to ''b'', e.g. {1,2,...,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>}}
 
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;Sequence[ <Expression>, <Variable i>, <Number a>, <Number b>, <Increment>]
: {{Example|1=&nbsp;
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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'' with given increment.
:* <code>Sequence[x^i, i, 1, 10]</code> generates the sequence ''{x, x², x³, x⁴, x⁵, x⁶, x⁷, x⁸, x⁹, x¹⁰}''.
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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>}}
:* <code>Sequence[x^i, i, 1, 10, 2]</code> generates the sequence ''{x, , x⁵, x⁷, x⁹}''.
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;Sequence[ <Number b> ]
:* <code>Sequence[5]</code> generates the sequence ''{1, 2, 3, 4, 5}''.}}
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:Creates list of numbers 1 to ''b'', e.g. {1, 2, ..., b}.  
 +
:{{example|1=<div><code><nowiki>Sequence[5]</nowiki></code> generates the sequence ''{1, 2, 3, 4, 5}''.</div>}}

Revision as of 10:19, 25 August 2011


Sequence[ <Expression>, <Variable i>, <Number a>, <Number b>]
Yields a list of objects created using the given expression and the index i that ranges from number a to number b.
Example:
L = Sequence[(2, i), i, 1, 5] creates a list of points whose y-coordinates range from 1 to 5: L = {(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}.
Sequence[ <Expression>, <Variable i>, <Number a>, <Number 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.
Example:
L = 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: L = {(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[ <Number b> ]
Creates list of numbers 1 to b, e.g. {1, 2, ..., b}.
Example:
L = 2^Sequence[4] creates list {2, 4, 8, 16}.
Note: See Lists for more information on list operations.

CAS Syntax

Sequence[ <Expression>, <Variable i>, <Number a>, <Number b> ]
Yields a list of objects created using the given expression and the index i that ranges from number a to number 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>, <Number a>, <Number 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.
Example:
Sequence[x^i, i, 1, 10, 2] generates the sequence {x, x³, x⁵, x⁷, x⁹}.
Sequence[ <Number b> ]
Creates list of numbers 1 to b, e.g. {1, 2, ..., b}.
Example:
Sequence[5] generates the sequence {1, 2, 3, 4, 5}.
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