In a geometric sequence, finding (n) means determining the position of a particular term or the total number of terms in the sequence. Which means the most reliable method uses the formula (a_n=a_1r^{n-1}), where (a_1) is the first term, (r) is the common ratio, and (n) is the term number. By isolating the exponential expression and applying logarithms, you can calculate (n) even when it is not obvious from direct inspection.
Introduction
A geometric sequence is a list of numbers in which each term