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AMO 2027 Grades 6-7 SET 20 - Self-study Question 14

AMO · AMO 2027 Grades 6-7 SET 20 - Self-study

Question 14

Find the missing number.

a) 10, 30, 32, 96, 98, 294, ( ), ( ), ...

b) 5, 16, 49, 148, ( ), ( ), ...

c) 6, 10, 7, 11, 8, 12, ( ), ( ), ...

d) 5, 10, 17, 26, 37, 50, ( ), ( ), ...

**Editorial note for this self-study exercise:** Use these intended rules: (a) alternate ×3 and +2; (b) ×3 then +1 each step; (c) alternate +4 and −3; (d) consecutive odd differences 5,7,9,11,13,… . Enter the two blanks for each part in left-to-right order, parts a,b,c,d, as eight integers separated by semicolons with no spaces. Format-only example: 1;2;3;4;5;6;7;8.