MA19.8A.24

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.24

Define sequences as functions, including recursive definitions, whose domain is a subset of the integers.

Unpacked Content

Knowledge

Students know:
  • Distinguishing characteristics of a function.
  • Distinguishing characteristics of function notation.
  • Distinguishing characteristics of generating sequences.

Skills

Students are able to:
  • Use the properties of operations and equality and knowledge of recursive functions to justify that an explicit formula that models a sequence is equivalent to a recursive model.

Understanding

Students understand that:
  • Each term in the domain of a sequence defined as a function is unique and consecutive.

Vocabulary

  • Sequence
  • Recursively
  • Domain
  • Arithmetic sequence
  • Geometric sequence
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