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Geometric & p-Series

Benchmark families with clean convergence rules · BC Calculus · greeting

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Owl · Mock interview — Geometric & p-Series. I ask; you answer.

Owl · We'll nail the |r| < 1 rule, the p-test, and how to compare an unknown series to these benchmarks. Along the way we'll bury two stubborn myths: that the harmonic series converges, and that every geometric series converges.

Larry’s gold answer — Show text to read it out loud.

Larry · gold answer · For a geometric series Σ arⁿ, I think it converges when |r| < 1, and the sum is a/(1−r) if we start at n = 0.

Owl: We'll nail the |r| < 1 rule, the p-test, and how to compare an unknown series to these benchmarks. Along the way we'll bury two stubborn myths: that the harmonic series converges, and that every geometric series converges.

You: —