ALG1.MATH.12.C
Identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes.
Algebra I · 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 processessequences
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
- apply (recursive processes to function forms of sequences) #dok2
- extend (patterns in arithmetic and geometric sequences using recursion) #dok2
Learning Targets
- I can recognize arithmetic sequences represented in function form. #dok1
- I can recognize geometric sequences represented in function form. #dok1
- I can identify terms of arithmetic sequences when given a recursive rule. #dok2
- I can identify terms of geometric sequences when given a recursive formula. #dok2
- I can apply a recursive process to generate additional terms in a sequence. #dok2
Big Ideas
- Sequences can be generated and described using recursive rules or function notation.
- Understanding recursive processes helps uncover patterns and connections in arithmetic and geometric sequences.
Essential Questions
- How can recursive processes be used to generate terms in a sequence?
- What is the difference between an arithmetic sequence and a geometric sequence when written in function form?
- How do you identify the next term in an arithmetic or geometric sequence given its recursive formula?
- How does representing a sequence as a function help in understanding its pattern?
- Why is it useful to recognize sequences in both explicit and recursive forms?