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Solution: Find the total number of spheres in the pile if each side of the base contains 4 spheres

Determine the sum of the infinite series: S = 1/3 + 1/9 + 1/27 + ... + (1/3)^n

Problem Statement: EE Board April 1997

If equal spheres are piled in the form of a complete pyramid with an equilateral triangle as base, find the total number of spheres in the pile if each side of the base contains 4 spheres.

Problem Answer:

The total number of spheres in the pile is 20 spheres.

Solution:

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