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.

🎵 Discrete Math Lesson 19: The Sum-of-Integers Formula — Apply 1+2+...+n = n(n+1)/2 mess around all you want, nothing here saves
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Discrete Math, Lesson 19: The Sum-of-Integers Formula

Math skill: Apply 1+2+...+n = n(n+1)/2

How the beat teaches it: Every slot gives n — the formula proved by mathematical induction, 1+2+...+n = n(n+1)÷2, gives the sum of the first n positive integers directly. Build that many notes anywhere in the kit.

This is lesson 19 of 24 in RockBlocks Math, Discrete Math, a free course where every lesson turns a math idea into something you can count, hear, and play. The previous lesson, Recurrence Relations,” covered compute a Term of a Linear Recurrence From Its Starting Values. Next is Lesson 20, Counting Satisfying Assignments (Boolean Algebra).”

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.