Sequence Command

Sequence[ <Expression>, <Variable i>, <Number a>, <Number b>]

Yields a list of objects created using the given expression and the index i that ranges from number a to number b.

Example:

L = Sequence[(2, i), i, 1, 5] creates a list of points whose y-coordinates range from 1 to 5: L = {(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}.

Sequence[ <Expression>, <Variable i>, <Number a>, <Number b>, <Increment>]

Yields a list of objects created using the given expression and the index i that ranges from number a to number b with given increment.

Example:

L = 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: L = {(2, 1), (2, 1.5), (2, 2), (2, 2.5), (2, 3)}.

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

Sequence[ <Number b> ]

Creates list of numbers 1 to b, e.g. {1, 2, ..., b}.

Example:

L = 2^Sequence[4] creates list {2, 4, 8, 16}.

Note: See Lists for more information on list operations.

CAS Syntax

Sequence[ <Expression>, <Variable i>, <Number a>, <Number b> ]

Yields a list of objects created using the given expression and the index i that ranges from number a to number b.

Example:

Sequence[x^i, i, 1, 10] generates the sequence {x, x², x³, x⁴, x⁵, x⁶, x⁷, x⁸, x⁹, x¹⁰}.

Sequence[ <Expression>, <Variable i>, <Number a>, <Number b>, <Increment>]

Yields a list of objects created using the given expression and the index i that ranges from number a to number b with given increment.

Example:

Sequence[x^i, i, 1, 10, 2] generates the sequence {x, x³, x⁵, x⁷, x⁹}.

Sequence[ <Number b> ]

Creates list of numbers 1 to b, e.g. {1, 2, ..., b}.

Example:

Sequence[5] generates the sequence {1, 2, 3, 4, 5}.