Difference between revisions of "Sequence Command"
From GeoGebra Manual
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− | ; 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>] |
− | {{ | + | :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. | + | :{{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>}} |
− | {{ | + | ;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. |
− | ; Sequence[<Number b>] | + | :{{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}. | + | :{{note| 1=Since the parameters ''a'' and ''b'' are dynamic you could use [[Slider Tool|slider]] variables in both cases above as well.}} |
− | {{ | + | ; Sequence[ <Number b> ] |
− | + | :Creates list of numbers 1 to ''b'', e.g. {1, 2, ..., b}. | |
− | ==CAS | + | :{{example| 1=<div><code><nowiki>L = 2^Sequence[4]</nowiki></code> creates list ''{2, 4, 8, 16}''.</div>}} |
− | + | :{{note| 1=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''. | + | ;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''. |
− | + | :{{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>] | |
− | : {{ | + | :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|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> ] | |
− | : | + | :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}.