Number Sequences • Hard 1 Set
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Answer key & explanations
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Find the next number: 4, 12, 36, 108, 324, ?
Rule: The pattern is geometric: multiply by 3 each step.
So the next number is 972.
Find the next number: 4, 8, 16, 32, 64, ?
Rule: The pattern is geometric: multiply by 2 each step.
So the next number is 128.
Find the next number: 1, 5, 9, 13, 17, ?
Rule: The pattern is an arithmetic sequence: add 4 each step.
So the next number is 21.
Find the next number: 13, 15, 19, 25, 33, ?
Rule: The gaps increase by 2 each time: +2, +4, +6, +8, then +10.
So the next number is 43.
Find the next number: 1, 8, 9, 17, 26, ?
Rule: This follows a Fibonacci-like rule: each term is the sum of the previous two.
So the next number is 43.
Find the next number: 7, 17, 27, 37, 47, ?
Rule: The pattern is an arithmetic sequence: add 10 each step.
So the next number is 57.
Find the next number: 9, 21, 24, 36, 39, ?
Rule: The pattern alternates: +12, +3, +12, +3, ... so the next step is +12.
So the next number is 51.
Find the next number: 11, 13, 17, 23, 31, ?
Rule: The gaps increase by 2 each time: +2, +4, +6, +8, then +10.
So the next number is 41.
Find the next number: 4, 14, 44, 134, 404, ?
Rule: Apply two steps repeatedly: ×3 then +2.
So the next number is 1214.
Find the next number: 1, 3, 9, 27, 81, ?
Rule: The pattern is geometric: multiply by 3 each step.
So the next number is 243.