Home » Blog » Give an inductive definition of the product symbol

Give an inductive definition of the product symbol

Give an inductive definition of the symbol

    \[ \prod_{k=1}^n a_k. \]


Definition.

    \[ \prod_{k=1}^0 a_k = 1, \qquad \prod_{k=1}^{n+1} a_k = \left( \prod_{k=1}^n a_k \right)\cdot a_{n+1}. \]

Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):