Home » Blog » Give an inductive definition of the product symbol Give an inductive definition of the product symbol by RoRi July 8, 2015 Give an inductive definition of the symbol Definition. Related
April 4, 2020 at 2:59 am Mihajlo says: The base case seems incorrect and it should be from 1 to 1 and equal to a1 (similar like we defined the sum on page 39).
![\[ \prod_{k=1}^n a_k. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-58d6846f7084e7cf0a37466e55e56b11_l3.png "Rendered by QuickLaTeX.com")
![\[ \prod_{k=1}^0 a_k = 1, \qquad \prod_{k=1}^{n+1} a_k = \left( \prod_{k=1}^n a_k \right)\cdot a_{n+1}. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-823876826bab710fcce77c6de79f1ec9_l3.png "Rendered by QuickLaTeX.com")
The base case seems incorrect and it should be from 1 to 1 and equal to a1 (similar like we defined the sum on page 39).
Exactly.