ALG1.MATH.12.D
Write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms.
Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
formulanth termarithmetic sequencegeometric sequencevalueterms
Skills
- write (a formula for the nth term of an arithmetic sequence given several terms) #dok2
- write (a formula for the nth term of a geometric sequence given several terms) #dok2
- identify (patterns among given terms in arithmetic and geometric sequences) #dok2
- analyze (sequences to determine common differences or ratios) #dok2
Learning Targets
- I can recognize patterns in a sequence of numbers as arithmetic or geometric. #dok2
- I can calculate the common difference or common ratio from a list of sequence terms. #dok2
- I can write a formula for the nth term of an arithmetic sequence when given several terms. #dok2
- I can write a formula for the nth term of a geometric sequence when given several terms. #dok2
- I can use my formula to predict future terms in a sequence. #dok2
Big Ideas
- Patterns in sequences can be generalized with formulas that help us find any term.
- Recognizing the type of sequence allows us to write formulas that model mathematical and real-world situations.
Essential Questions
- How can patterns in a sequence help you predict future terms?
- What is the difference between arithmetic and geometric sequences?
- How do you create a formula to describe the nth term of a sequence?
- How does identifying the common difference or ratio help generate the sequence formula?
- In what real-life situations might you need to model data with an arithmetic or geometric sequence?