PRECAL.MATH.5.B
Represent arithmetic sequences and geometric sequences using recursive formulas.
Precalculus · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
arithmetic sequencesgeometric sequencesrecursive formulas
Skills
- represent (arithmetic sequences using recursive formulas) #dok2
- represent (geometric sequences using recursive formulas) #dok2
- identify (arithmetic sequences) #dok1
- identify (geometric sequences) #dok1
- write (recursive formulas for arithmetic and geometric sequences) #dok2
Learning Targets
- I can identify arithmetic sequences by their constant differences. #dok1
- I can identify geometric sequences by their constant ratios. #dok1
- I can write recursive formulas for arithmetic sequences using nth term relationships. #dok2
- I can write recursive formulas for geometric sequences using nth term relationships. #dok2
- I can represent real-world patterns as arithmetic or geometric sequences using a recursive approach. #dok3
Big Ideas
- Recursive formulas offer a compact way to define and analyze sequences.
- Recognizing arithmetic and geometric patterns allows for effective modeling and prediction in real-world contexts.
Essential Questions
- How do recursive formulas describe arithmetic and geometric sequences?
- What distinguishes an arithmetic sequence from a geometric sequence?
- How can we construct a recursive formula when given a sequence or a real-world situation?
- Why might recursive formulas be useful in modeling real-world problems?
- How can you determine if a given sequence is arithmetic, geometric, or neither?