Question: Consider an equilateral triangle containing 1 + 2 + 3 + ... + n = n(n + 1)/2 circles, each of diameter 1 and stacked

Consider an equilateral triangle containing 1 + 2 + 3 + ... + n = n(n + 1)/2 circles, each of diameter 1 and stacked as indicated in Figure 4 for the case n = 4. Find

Where An is the total area of the circles, and Bn is the area of the triangle.

Consider an equilateral triangle containing 1 + 2 + 3

lim A B Figure 4

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