179 BPM
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4/4 ×2
Drag rhythmic values into up to 8 beat blocks per line to build a drum groove, or click a tile then click a block to place it — handy on a trackpad.
Math skill: Evaluate a Series That Collapses via Cancellation
How the beat teaches it: Every slot gives Σ k/(n(n+1)) for n=1 to infinity — since 1/(n(n+1)) = 1/n - 1/(n+1), every term after the first cancels with the next term's leftover, and the infinite sum collapses to exactly k. Build that many notes anywhere in the kit.
This is lesson 16 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, “Sum of an Infinite Geometric Series,” covered compute S = a ÷ (1 - r). Next is Lesson 17, “The Ratio Test.”
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.