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Omni-MATH / Let a₁,a₂,… be an arithmetic sequence and b₁,b₂,… be a geometric sequence. Suppose that a₁b₁=20, a₂b₂=19, and a₃b₃=14. Find the greatest possible value of a₄b₄. · Discussion

Discussing Let a₁,a₂,… be an arithmetic sequence and b₁,b₂,… be a geometric sequence. Suppose that a₁b₁=20, a₂b₂=19, and a₃b₃=14. Find the greatest possible value of a₄b₄. · Omni-MATH

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