Determine explicit or recursive expressions

What you'll learn

1. Determine an explicit expression (closed-form formula) for a function from a contextual description, giving f(x) directly in terms of x
2. Determine a recursive process for a function, defining f(n) in terms of f(n-1) with a specified initial value
3. Describe a step-by-step calculation process for situations where neither a single formula nor a simple recursion is available
4. Choose between explicit, recursive, and procedural representations based on which best matches the context
5. Translate between explicit and recursive forms for linear and exponential relationships
6. Verify that explicit and recursive representations generate the same sequence of values

Prerequisites

• Understand function definition