Write the rule of a geometric sequence given 2nd and 5th term

The video tutorial explains how to find the nth rule of a geometric sequence when given two non-consecutive terms, a2 and a5. The instructor demonstrates the process of determining the common ratio and the first term, and then formulating the general rule for the sequence. The tutorial emphasizes the importance of understanding the relationship between terms and using the general formula to solve for unknowns.

What formula can be used to express the nth term of a geometric sequence?

How do you evaluate the nth term of a geometric sequence using the values of a sub 1 and r?