Arithmetic Sequences, Recursive Definitions, and Series

6 lessons

Goal

Analyze arithmetic progressions explicitly and recursively, compute nth terms, and evaluate arithmetic series in sigma notation.

Arithmetic Sequences: Explicit and Recursive Definitions

6 lessons

0 of 6 done

Arithmetic Sequences: Explicit and Recursive DefinitionsUp next
Finding Terms and Common Differences in Arithmetic SequencesPremiumNot started yet
Arithmetic Means and Sequence InterpolationNot started yet
Deriving the Arithmetic Series Sum FormulaNot started yet
Finding Sums of Arithmetic Series in Sigma NotationNot started yet
Real-World Applications of Arithmetic Sequences and SeriesNot started yet

Standards Covered

Curriculum Framework

6 lessons

Master the formal mapping definition of functions, algebraic and contextual domain-range analysis, and advanced function notation.

8 lessons

Analyze, interpret, and sketch critical graph features across diverse function families including extrema, behavior, and symmetry.

6 lessons

Analyze, evaluate, and sketch piecewise-defined, greatest integer (floor/ceiling), and absolute value (modulus) functions.

6 lessons

Perform algebraic arithmetic on functions, construct composite functions, and evaluate nested domains.

7 lessons

Determine invertibility, construct inverses algebraically and graphically, restrict domains, and verify inverse relationships via composition.

7 lessons

Apply single and multi-step vertical and horizontal translations, stretches, compressions, and reflections to arbitrary functions y = f(x).

6 lessons

Analyze arithmetic progressions explicitly and recursively, compute nth terms, and evaluate arithmetic series in sigma notation.

8 lessons

Analyze geometric progressions, evaluate partial sums using sigma notation, and determine convergence and infinite sums for |r| < 1.