The product operator multiplies the terms of a sequence or partial sequence. It is denoted as

\prod_{k=1}^n a_k=(a_1)(a_2)\cdots(a_{n-1})(a_n)

Any infinite product of an will converge to a nonzero real number if and only if


converges. This can be determined by any convergence test.

A common application of the product operator is in factorials, where


See also

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