Applications of Sequences and Series
Apply your understanding of arithmetic and geometric sequences and series to model and solve a variety of real-world problems, from finance to physics.
About This Topic
Apply your understanding of arithmetic and geometric sequences and series to model and solve a variety of real-world problems, from finance to physics.
Key Questions
- Identify whether a real-world scenario is best modeled by an arithmetic or a geometric sequence.
- Explain how to set up a series to solve a problem involving total accumulation over time.
- Evaluate a financial plan involving regular deposits by modeling it as a series.
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Algebra II
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Sequences and Series
Introduction to Sequences
Explore sequences as functions whose domain is a subset of the integers, and learn to represent them using both explicit and recursive formulas.
8 methodologies
Arithmetic Sequences
Investigate arithmetic sequences, where the difference between consecutive terms is constant, and learn to write rules to find any term in the sequence.
8 methodologies
Geometric Sequences
Explore geometric sequences, where each term is found by multiplying the previous term by a constant, and develop formulas to model this exponential growth or decay.
8 methodologies
Finite Geometric Series
Discover how to find the sum of a specific number of terms in a geometric sequence and apply the formula to solve problems involving cumulative growth.
8 methodologies