2024 AMC 10A Problems/Problem 19
Problem
The first three terms of a geometric sequence are the integers 
and 
where 
What is the sum of the digits of the least possible value of 
Solution
For a geometric sequence, we have 
, and we can test values for 
. We find that 
and 
works, and we can test multiples of 
in between the two values. Finding that none of the multiples of 5 divide 
besides 
itself, we know that the answer is $7+6+8=\boxed{\textbf{(E)}21$ (Error compiling LaTeX. Unknown error_msg).
~eevee9406
