Sequence Command

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.