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The text explains the product symbol, represented as a capital pi (π), similar to the sum symbol. It introduces an index, k, starting at 1 and continuing through all natural numbers up to n, indicating a product with n factors: a₁ × a₂ × a₃ × ... × aₙ. The a₁, a₂, etc., can be any numbers, and the index name k can vary. The explanation emphasizes that a formal definition relies on a recursive approach, particularly addressing the concept of the empty product when n equals zero, highlighting that no numbers are involved, making the previous explanation irrelevant.
