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Infinite Serieshard
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Consider a fractal where each step adds triangles. The total area AAA is given by A=A0∑n=0∞(34)nA = A_0 \sum_{n=0}^{\infty} (\frac{3}{4})^nA=A0​∑n=0∞​(43​)n. What is the total area if A0=1A_0 = 1A0​=1?

A_0