8adv.MATH.12.D
Identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes.
Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
termsarithmetic sequencesgeometric sequencesfunction formrecursive processes
Skills
- identify (terms of arithmetic sequences in function form using recursive processes) #dok2
- identify (terms of geometric sequences in function form using recursive processes) #dok2
- analyze (recursive functions to determine terms within sequences) #dok2
Learning Targets
- I can find specific terms in an arithmetic sequence written in function form using a recursive formula. #dok2
- I can find specific terms in a geometric sequence written in function form using a recursive formula. #dok2
- I can describe how a recursive process is used to define the terms in a sequence. #dok2
Big Ideas
- Recursive processes can be used to generate the terms of arithmetic and geometric sequences when those sequences are represented as functions.
- Understanding recursive definitions helps in identifying the structure and growth patterns of both arithmetic and geometric sequences.
Essential Questions
- How do recursive processes work to define arithmetic and geometric sequences?
- What is the difference between an arithmetic and a geometric recursive sequence?
- How can the next term of a sequence be calculated using a recursive formula?
- Why might a sequence be defined recursively rather than explicitly?
- How can you determine if a given sequence is arithmetic or geometric based on its recursive function?