How to determine the rule for a geometric sequence given two values

The video tutorial explains how to identify the first five terms of a geometric sequence by using the formula a_n = a_1 * r^(n-1). It begins with an introduction to geometric sequences and the importance of finding the common ratio, r. The instructor demonstrates how to solve for r using given terms and then applies the formula to calculate the first five terms of the sequence. The tutorial concludes with a review of the calculations and a final answer for the fifth term.

How do you determine the value of r in a geometric sequence?

What is the formula for a geometric sequence?

What are the first three terms of the geometric sequence when a1 is 9 and r is 2/3?

Explain how to find a sub 4 in the geometric sequence given a1 and r.

What is the final answer for a to the 5th in the geometric sequence?