Sequences
What a sequence is, how to specify one, and the basic vocabulary used throughout the course.
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Learning Objectives
- State the formal definition of a sequence.
- Read and write standard sequence notation.
- Distinguish explicit-formula and recurrence-based definitions.
- Recognise monotone and bounded sequences.
About This Course Unit
This unit introduces the sequence as a function from the natural numbers to the reals. It covers the standard notation, the two main ways of defining sequences (explicit formula and recurrence), and the structural properties that matter in later units: monotonicity and boundedness.