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MathNet 2024-part-05 — 168 problems (EN–VI) Question 150

Math Olympiad Vault · MathNet 2024-part-05 — 168 problems (EN–VI)

Question 150

The first three terms of a geometric sequence are the integers $a$, $720$, and $b$, where $a \lt 720 \lt b$. What is the sum of the digits of the least possible value of $b$?

(A) 9 (B) 12 (C) 16 (D) 18 (E) 21