Generating Sequences

A set of vocabulary flashcards defining sequence concepts and formula types covered in the Generating Sequences worksheet.

CCSS HSF.BF.A.2

The Common Core State Standard code designated for generating sequences from given algebraic rules.

Sequence Position ($n$)

The position variable representing the term number in a sequence, taking values such as $1$, $2$, $3$, $4$, and $5$.

Linear Sequence Formula

An algebraic expression where $n$ is to the first power, such as $4n$, $3n + 1$, or $5n - 8$, used to generate terms of a sequence.

Negative Coefficient Sequence

A sequence generated by an algebraic formula containing a negative coefficient on $n$, such as $2 - n$, $-3n$, or $-5n + 3$.

Quadratic Sequence Formula

An algebraic rule containing an $n^2$ term, such as $n^2$, $n^2 + 1$, $n^2 + 5$, or $2n^2$, used to determine terms in a non-linear sequence.

Cubic Sequence Formula

An algebraic rule containing an $n^3$ term used to calculate sequence terms by cubing the term position $n$.

Section D Level 7 Sequences

Advanced sequence rules involving bracketed terms like $2(n + 1)$, quadratic forms like $n^2 + 5$, factored products like $n(n + 2)$, and cubic terms like $n^3$.