Sequence Command

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}.

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}.

Since the parameters a and b are dynamic you could use slider variables in both cases above as well.
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}.

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 .

See Lists for more information on list operations.