2023 AMC 8 Problems/Problem 22
Revision as of 20:48, 24 January 2023 by Pi is 3.14 (talk | contribs)
Contents
[hide]Problem
In a sequence of positive integers, each term after the second is the product of the previous two terms. The sixth term is . What is the first term?
Solution
Suppose the first two terms were and . Then, the next terms would be , , , and . Since is the sixth term, this must be equal to . So, . Trying out the choices, we get that , , which means that the answer is
~MrThinker
Video Solution 1 by OmegaLearn (Using Diophantine Equations)
Animated Video Solution
~Star League (https://starleague.us)