Mathematics Question from JEE Main 2023 · 30 January, Shift 2

Let $a, b, c > 1$, $a^3, b^3$ and $c^3$ be in A.P., and $\log_b a, \log_a c$ and $\log_c b$ be in G.P. If the sum of the first $20$ terms of an A.P., whose first term is $\frac{a + 4b + c}{3}$ and the common difference is $\frac{a - 8b + c}{10}$, is $-444$, then $abc$ is equal to: