Geometric Sequence and Spiral

This is a geometric sequence! The point B starts out being 10 units from the origin (0, 0), and every time the stageNumber increases, it rotates counterclockwise 15 degrees and its length increases or decreases by a certain percent. You can toggle geometricRatio to change the multiplying ratio at each step, and after you have specified a geometricRatio, you can change the stageNumber to see where the point will be located at the nth-stage. If you turn on Trace for point B (by right-clicking B with your mouse and choosing "Trace On..."), you can also see what type of common shape is being created by this geometric sequence!

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Mimi Yang, August 21, 2010, Created with GeoGebra