Notes
Product Notation
\(\displaystyle\prod_{n=1}^{k}a_n = a_1 \cdot a_2 \cdot a_3 \cdot \ldots \cdot a_{k-1} \cdot a_k\)
Practice Questions
Find each product
\(\textbf{1)}\) \( \displaystyle \prod_{i=3}^{5} 3-2i \)
\(\textbf{2)}\) \( \displaystyle \prod_{i=3}^{5} 3i-5 \)
\(\textbf{3)}\) \( \displaystyle \prod_{i=1}^{4} (2)^i \)
See Related Pages
\(\bullet\text{ Product Notation Calculator }\)
\(\,\,\,\,\,\,\,\,\text{(Symbolab.com)}\)
\(\bullet\text{ Summation Notation (Sigma Notation)}\)
\(\,\,\,\,\,\,\,\displaystyle \sum_{i=3}^{5} 3-2i\)
In Summary
Product notation, also known as pi notation, is a mathematical symbol used to represent the product of a series of numbers. We use it to to more efficiently and concisely represent the product of a series of numbers or variables. It is commonly used in calculus and advanced algebra courses.
Some related topics to product notation include infinite series, mathematical induction, and the concept of convergence. These topics are often studied alongside product notation in advanced math courses, and understanding these concepts can help to provide a deeper understanding of the use and application of product notation.