What is the formula for finding the *nth* term of a geometric sequence?

Flashcard 11 - Numbers and Operations Flashcard Set for the Math Basics

\[a_n=a_1 \cdot r^{(n-1)}\]

For example, what is the 6th term in the sequence 1, 3, 9, 27, …?

\(a_1=1\), the common ratio \(r=3\), and \(n=6\).

So, \(a_6=1 \cdot 3^{(6-1)}=1\cdot 3^5=243\).

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