Difference between revisions of "Sequence Command"
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|list}} |
| − | {{command|cas=true|list}} | + | ; Sequence( <Expression>, <Variable k>, <Start Value a>, <End Value b> ) |
| − | ; Sequence | + | :Yields a list of objects created using the given expression and the index ''k'' that ranges from start value ''a'' to end value ''b''. |
| − | :Yields a list of objects created using the given expression and the index '' | + | :{{examples|1=<div> |
| − | :{{ | + | :*<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)}'' |
| − | ;Sequence | + | :*<code>Sequence(x^k, k, 1, 10)</code> creates the list {''x, x², x³, x⁴, x⁵, x⁶, x⁷, x⁸, x⁹, x¹⁰''}</div>}} |
| − | :Yields a list of objects created using the given expression and the index '' | + | ; 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|1=<div> | ||
| + | :*<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)}'' | ||
| + | :*<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.}} | ||
| − | ; Sequence | + | ; Sequence( <End Value > ) |
| − | :Creates list of | + | :Creates a list of integers from 1 to the given end value. |
| − | :{{ | + | :{{examples| 1=<div> |
| + | :*<code><nowiki>Sequence(4)</nowiki></code> creates the list ''{1, 2, 3, 4}''. | ||
| + | :*<code><nowiki>2^Sequence(4)</nowiki></code> creates the list ''{2, 4, 8, 16}''.</div>}} | ||
| + | ;Sequence( <Start value k >, <End value n > ) | ||
| + | : Creates a list of integers from ''k'' to ''n'' (increasing or decreasing). | ||
| + | :{{Examples| 1=<div> | ||
| + | :*<code><nowiki>Sequence(7,13)</nowiki></code> creates the list {''7, 8, 9, 10, 11, 12, 13''} | ||
| + | :*<code><nowiki>Sequence(18,14)</nowiki></code> creates the list {''18, 17, 16, 15, 14''} | ||
| + | :*<code><nowiki>Sequence(-5, 5)</nowiki></code> 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 <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>}} | ||
:{{note| 1=See [[Lists]] for more information on list operations.}} | :{{note| 1=See [[Lists]] for more information on list operations.}} | ||
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Latest revision as of 23:26, 6 August 2019
- 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 bar7..13.
- Note: See Lists for more information on list operations.
