# An algebra problem by Abhay Kumar

Algebra Level 3

Let $$a$$ be the arithmetic mean of $$b$$ and $$c.$$ Furthermore, let $$g_1$$ and $$g_2$$ be two numbers such that $$b, g_1, g_2, c$$ forms a geometric sequence.

What is the value of $$g_1^3 + g_2^3$$?

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