← Olympiad Algebra

Chapter 6

Sequences that feed themselves

Each term from the ones before: fixed points, closed forms and cycles.

1

Where the graph meets the diagonal

xₙ₊₁ = xₙ/2 + 3. The web goes up to the graph, across to y = x, and up again. Drag the start x₀ anywhere.

024681012y = xx₀
LL==L2+3\tfrac{L}{2} + 3
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