FANDOM


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

\sum_{n=1}^\infty\ln(a_n)=r

converges. This can be determined by any convergence test.

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

n!=\prod_{k=0}^{n-1}(n-k)=n(n-1)(n-2)\cdots(2)(1)

See also

Ad blocker interference detected!


Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.