Sequence Command
From GeoGebra Manual
- Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b> ]
- Yields a list of objects created using the given expression and the index i that ranges from start value a to end value b.
- Examples:
Sequence[(2, i), i, 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^i, i, 1, 10]
creates the list {x, x², x³, x⁴, x⁵, x⁶, x⁷, x⁸, x⁹, x¹⁰}
- Sequence[ <Expression>, <Variable i>, <Start Value a>, <End Value b>, <Increment> ]
- 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.
- Examples:
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: {(2, 1), (2, 1.5), (2, 2), (2, 2.5), (2, 3)}Sequence[x^i, i, 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 i >, <End value n > ]
- Creates a list of integers from i 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.