8: Problem Solving
- Recognize and distinguish between arithmetic, geometric, and quadratic sequences.
- Create a general term for arithmetic, geometric, and quadratic sequences.
- Recognize a pattern and infer the pattern on subsequent terms of a sequence.
- Identify a sequence pattern within real-life observations.
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- 8.1: Arithmetic Sequences
- We can describe a sequence in words (e.g. a sequence of even numbers.) but can we describe the sequence mathematically? That is, can we describe the pattern of the sequence of even numbers using a formula? Absolutely! This section will explore arithmetic sequences, how to identify them, mathematically describe their terms, and the relationship between arithmetic sequences and linear functions. Let’s get started!
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- 8.4: Quadratic Sequences
- Quadratic functions are polynomial functions of degree two. For example, f(x) = x^2 is a quadratic function. This section will explore patterns in quadratic functions and sequences. Identifying patterns within a function table gives us valuable clues to build the right function to match the mathematical pattern.
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