This is a short, animated visual proof demonstrating how to multiplicatively obtain the (n+1)st triangle number from the nth triangular number.
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To see a wide screen version of this proof check out A Multiplicative Triangular Number Recurrence (visual proof)
• A Multiplicative Triangular Number Re...
This animation is included in the following sources:
Proofs without Words II by Roger B. Nelsen (MAA, 2000) (https://bookstore.ams.org/clrm-14/) page 14
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https://manim.community