Difference between revisions of "Sequence Command"
From GeoGebra Manual
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:Creates list of numbers 1 to ''b'', e.g. {1,2,...,b}. | :Creates list of numbers 1 to ''b'', e.g. {1,2,...,b}. | ||
{{Example| 1=<code>L = 2^Sequence[4]</code> creates list {2,4,8,16}. See [[Lists]] for more information on list operations.}} | {{Example| 1=<code>L = 2^Sequence[4]</code> creates list {2,4,8,16}. See [[Lists]] for more information on list operations.}} | ||
+ | |||
+ | ==CAS Syntaxes== | ||
+ | |||
+ | {{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''. | ||
+ | ; 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>]:Creates list of numbers 1 to ''b'', e.g. {1,2,...,b}. | ||
+ | |||
+ | : {{Example|1= | ||
+ | :* <code>Sequence[x^i, i, 1, 10]</code> generates the sequence ''{x, x², x³, x⁴, x⁵, x⁶, x⁷, x⁸, x⁹, x¹⁰}''. | ||
+ | :* <code>Sequence[x^i, i, 1, 10, 2]</code> generates the sequence ''{x, x³, x⁵, x⁷, x⁹}''. | ||
+ | :* <code>Sequence[5]</code> generates the sequence ''{1, 2, 3, 4, 5}''.}} |
Revision as of 10:07, 29 July 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}. See Lists for more information on list operations.
CAS Syntaxes
- 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.
- Sequence[<Number b>]
- Creates list of numbers 1 to b, e.g. {1,2,...,b}.
- Example:
Sequence[x^i, i, 1, 10]
generates the sequence {x, x², x³, x⁴, x⁵, x⁶, x⁷, x⁸, x⁹, x¹⁰}.Sequence[x^i, i, 1, 10, 2]
generates the sequence {x, x³, x⁵, x⁷, x⁹}.Sequence[5]
generates the sequence {1, 2, 3, 4, 5}.