Number Patterns Simulation

Discover rules by growing sequences, shapes, and recursive patterns.

Interactive pattern laboratory

Pattern caption and live values

First term

Change

Pattern type

Current term

Rule

Visual step

Number Patterns Simulation

Discover number patterns

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A number pattern is an ordered sequence generated by a rule. Compare differences, ratios, shapes, and recursive relationships.

1 Inspect terms2 Find change3 Write rule4 Predict and verify

A reliable rule reproduces known terms and predicts new ones.

Experiment

First term

Difference / ratio

Terms to show

Predict selected term

Show the current equation on canvas

Simulation speed1×

Zoom100%

Term-value history

Each change adds a point. Tracking a group highlights its contribution.