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🎵 Calculus II Lesson 20: Radius of Convergence — Find R for a Power Series Σ(x/c)ⁿ mess around all you want, nothing here saves
183 BPM
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Calculus II, Lesson 20: Radius of Convergence

Math skill: Find R for a Power Series Σ(x/c)ⁿ

How the beat teaches it: Every slot gives a power series Σ(x/c)ⁿ — it's geometric in (x/c), converging when |x/c| < 1, i.e. |x| < c. So the radius of convergence R = c. Build that many notes anywhere in the kit.

This is lesson 20 of 24 in RockBlocks Math, Calculus II, a free course where every lesson turns a math idea into something you can count, hear, and play. The previous lesson, Evaluating a Maclaurin Polynomial,” covered evaluate a Degree-3 Maclaurin Polynomial at a Point. Next is Lesson 21, Riemann Sums.”

Every slot above (A, B, C, D) is its own question, and it’s a real, blank RockBlocks beat the whole time — the same drag-and-drop tiles, kit, tempo, sheet music, and drummer view as anywhere else on the site. Tap ❓ Questionin the corner to read the current slot’s problem, build your answer right in the grid, then tap ✓ Check Answerto grade it. Once you’re done, keep going: expand the beat, drop it into a Stack, or save a copy to your own page — nothing here overwrites the lesson itself, so every visitor still starts from the same blank slots.