සංගතිකSangathika

SAM · Change and accumulation · leaf

Sequences, limits and series

A sequence is a rule that keeps going, and a limit is where it is heading even if it never arrives.

Before this leaf: Exponentials and logarithms.
This leaf feeds: Differentiation, Integration, Probability.
Objects you will meet again: the two towns.

planned 0 of 14 lessons built

The Sequences, limits and series leaf, with the cast objects it uses drawn on its veins සංගතික · Sangathika · SAM. © 2026 Niranga Dharmaratna. CC BY-SA 4.0.
  1. 01
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  4. 04
  5. 05
  6. 06
  7. 07
  8. 08
  9. 09
  10. 10
  11. 11
  12. 12
  13. 13
  14. 14

Lessons, notes and demos

One row per lesson, in the order the leaf builds up. Each lesson holds its notes, its demos and its challenges on one page. A demo link opens the lesson at that demo.

This leaf is planned. Its lessons are being designed now, and each one appears here when it is built. The strip above shows its planned length.

0.7ⁿ settling, power iteration converging, the geometric series, and the floating-point moment where a limit computed in JS goes wrong.

Glossary

Every new word from this leaf appears here, with one sentence and the lesson that introduces it.

For the teacher

Sequencing and rationale

The sequencing for this leaf is published with its first lessons.