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
.
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