This question is from the book Abstract Algebra: Theory and Applications by Thomas W. Judson.
Chapter 2 – Question 7
Show that
$$\sqrt[n]{a_1a_2 \cdots a_n} \leq \frac{1}{n} \sum_{k=1}^n a_k.$$
This question is from the book Abstract Algebra: Theory and Applications by Thomas W. Judson.
Show that
$$\sqrt[n]{a_1a_2 \cdots a_n} \leq \frac{1}{n} \sum_{k=1}^n a_k.$$