MathematicalFunctionsSequencesThe Sequences package for handling symbolic sequencesDescriptionList of The Sequences Package CommandsCompatibility

<Text-field style="Heading 2" layout="Heading 2" bookmark="info">Description</Text-field>Sequences is a package of commands for handling symbolic sequences, that is, sequences where the number of operands is unknown. Symbolic sequences enter in various formulations in mathematics. Among the most typical cases of symbolic sequences, there are:1. A sequence of numbers - say from n to m - frequently displayed asNiVJIm5HNiJJJC4uLkc2JEkqcHJvdGVjdGVkR0YnSShfc3lzbGliR0YkSSJtR0Yk2. A sequence of one object, say a, repeated say p times, frequently displayed asNiNJW3IjbXVuZGVyKG11bmRlcihtcm93KG1pKCJhIiksbW8oIiZjb21tYTsiKSxtaSgiLi4uIiksbW8oIiZjb21tYTsiKSxtaSgiYSIpKSxtbygiJlVuZGVyQnJhY2U7IikpLG10ZXh0KCJwfnRpbWVzIikpRzYi3. A more general sequence, as in 1., but of different objects and not necessarily numbers, frequently displayed asNiUmSSJhRzYiNiNJIm5HRiVJJC4uLkc2JEkqcHJvdGVjdGVkR0YqSShfc3lzbGliR0YlJkYkNiNJIm1HRiU=or likewise a sequence of functions NiUtSSJmRzYiNiNJIm5HRiVJJC4uLkc2JEkqcHJvdGVjdGVkR0YqSShfc3lzbGliR0YlLUYkNiNJIm1HRiU=.In all these cases, none of n, m, or p are known: they are just symbols, or algebraic expressions, representing integer values. These most typical cases of symbolic sequences have been implemented in Maple using the $ operator. Cases 1., 2. and 3. above are respectively entered as $(n .. m), a $ p and a[i] $ (i = n .. m). To that implementation, the Sequences package adds two things: the typesetting of these three kinds of symbolic sequences as shown in the enumeration above, and commands to perform algebraic operations on them.
<Text-field style="Heading 2" layout="Heading 2" bookmark="bkmrk0">List of The Sequences Package Commands</Text-field>

AddDifferentiateMapMultiplyNops

<Text-field style="Heading 3" layout="Heading 3" bookmark="bkmrk1">Brief description of each command</Text-field>Add adds the elements of a sequence or adds to the elements of a sequence.Differentiate differentiates the elements of a sequence.Map maps an operation to the elements of a sequence.Multiply multiplies the elements of a sequence or multiplies to the elements of a sequence.Nops counts the elements of a sequence.
<Text-field style="Heading 2" layout="Heading 2" bookmark="compatibility">Compatibility</Text-field>The MathematicalFunctions[Sequences] package was introduced in Maple 2016.For more information on Maple 2016 changes, see Updates in Maple 2016.See AlsoAddDifferentiateMapMathematicalFunctionsMultiplyNops