Sequence Command

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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 bar 7..13 .
Note: See Lists for more information on list operations.
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