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AMO 2027 Grades 2-3 SET 9 - Self-study Question 3

AMO · AMO 2027 Grades 2-3 SET 9 - Self-study

Question 3

Given a sequence

3, 3, 1, 9, 4, 3, 3, 1, 9, 4, 3, 3, 1, 9, 4, …

a) What is the 36th number?

b) What is the sum of the first 50 terms?

Self-study input instruction (editorial): use the repeating five-term block shown. Enter both answers separated by a semicolon, in the order a;b.

**Editorial input note:** Use no spaces before or after semicolons.