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).
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