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Recursion

Building the next case from earlier cases.

Recursion happens when a rule refers back to what came before. It is a way of growing patterns one layer at a time.

Tiny example

Use the previous answer

Make a sequence where each term is double the previous term.

1, 2, 4, 8, 16. Every new term depends on the one before it.

Why it matters

Recursive thinking helps explain growth, branching, algorithms, cellular automata and many self-similar patterns.

Things to watch for

  • Forgetting the starting value.
  • Confusing a recursive rule with a direct nth-term formula.
  • Assuming recursion is only for sequences.

Try it in a tool