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MathNet 2010 — Part 05 Question 156

Math Olympiad Vault · MathNet 2010 — Part 05

Question 156

Consider the arithmetic sequence $8, 21, 34, 47, \ldots$.


a) Prove that this sequence contains infinitely many integers written only with digit $9$.


b) How many such integers less than $2010^{2010}$ are in the sequence?