Introduction to Sequences

AP Calculus · Axiom Academy

Intro Introduction to Sequences What are sequences and why do they lead to series? A sequence is an ordered list of numbers following a pattern: For example: The big question: does the sequence approach a limiting value as ? a_n = the n th term of the sequence Divergent: the limit does not exist or is infinite Limits of sequences and convergence Infinite series (sums of sequences) Convergence tests (8+ different tests!) Power series and radius of convergence This unit is BC only and is one of the most challenging — and most rewarding — topics in calculus.

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