Calculus › Section J · Infinite series › Topic J.1
Sequences
A sequence is an infinite list of numbers with a rule behind it, and the central question is where the list is heading. Sequences are the raw material for infinite series and for every algorithm that homes in on an answer step by step.
In this topic
- Infinite lists with a rule
- Convergence: where is the list heading?
- Computing limits like a pro
- Worked example: a famous limit
- Two famous divergent patterns
- Bounded and monotonic
- Worked example: how a calculator finds √2
- Tails, and what does not matter
- Common mistakes to avoid
- Key takeaways
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Standards: 10 (BC)