Find the 12th term of the geometric sequence $5,20,80, \ldots$

Step 1 ：Given a geometric sequence with the first term \(a_1 = 5\) and the common ratio \(r = 20/5 = 4\). We are asked to find the 12th term of the sequence.

Step 2 ：The nth term of a geometric sequence can be found using the formula \(a_n = a_1 * r^{(n-1)}\), where \(a_n\) is the nth term, \(a_1\) is the first term, r is the common ratio, and n is the term number.

Step 3 ：Substitute \(a_1 = 5\), \(r = 4\), and \(n = 12\) into the formula to find the 12th term.

Step 4 ：Calculate \(a_n = 5 * 4^{(12-1)} = 20971520\).

Step 5 ：Final Answer: The 12th term of the geometric sequence is \(\boxed{20971520}\).