UNIT VOCABULARY Functions

Closed Form of a Sequence (This is also known as the explicit form of a sequence.) For an arithmetic sequence, use a n = a 1 + (n-1)d as the explicit or closed form. For a geometric sequence, use a n = a 1 * r n-1 as the explicit or closed form.

Complement of a Set: A’ Everything that is not part of the given set. Symbol= A’ (A represents the name of the set, ‘ represents complement)

Element A member or item in a set. Symbol: Symbol for not an element:

Explicit form of a Sequence Another name for Closed Form of a Sequence.

Function A relation for which each element of the domain (inputs) corresponds to exactly one element of the range (outputs).

Constant Function A function in the form of y = constant, such as y = -2.

Intersection of Sets The set of ALL elements contained in ALL of the given sets, but not additional elements. Symbol for Intersection:

Null Set A subset which has no elements; also called the “empty set”. Symbol: { } or O

Proper Subset A subset that does not contain every element of the parent set. Symbol for Proper Subset:

Recursive Sequence A type of sequence in which the values of terms originate from other terms in the sequence.

Relation A set.

Set A collection of numbers, geometric figures, letters, or other objects that have some characteristic in common. Symbol for Set: {elements}

Subset A collection of items drawn entirely from a single set. A subset can consist of any number of items from a set ranging from none at all (a null subset) all the way up to the entire set (every set is a subset of itself). Symbol for Subset:

Union of Sets The set of all elements that belong to at least one of the given two or more sets. Symbol for Union:

Venn Diagram A picture that illustrates the relationship between two or more sets.

Disjoint When two sets have no elements in common. Same as Null Set Symbol: {} or O