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Practice set

Number Sequences • Medium 1 Set

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Answer key & explanations

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NS-003 • Difficulty 1/5

Find the next number: 8, 24, 72, 216, 648, ?

Answer: 1944

Rule: The pattern is geometric: multiply by 3 each step.

So the next number is 1944.

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NS-009 • Difficulty 1/5

Find the next number: 8, 24, 72, 216, 648, ?

Answer: 1944

Rule: The pattern is geometric: multiply by 3 each step.

So the next number is 1944.

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NS-022 • Difficulty 2/5

Find the next number: 5, 14, 23, 32, 41, ?

Answer: 50

Rule: The pattern is an arithmetic sequence: add 9 each step.

So the next number is 50.

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NS-017 • Difficulty 2/5

Find the next number: 1, 11, 15, 25, 29, ?

Answer: 39

Rule: The pattern alternates: +10, +4, +10, +4, ... so the next step is +10.

So the next number is 39.

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NS-007 • Difficulty 2/5

Find the next number: 11, 21, 31, 41, 51, ?

Answer: 61

Rule: The pattern alternates: +10, +10, +10, +10, ... so the next step is +10.

So the next number is 61.

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NS-001 • Difficulty 3/5

Find the next number: 1, 2, 3, 5, 8, ?

Answer: 13

Rule: This follows a Fibonacci-like rule: each term is the sum of the previous two.

So the next number is 13.

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NS-023 • Difficulty 3/5

Find the next number: 8, 2, 10, 12, 22, ?

Answer: 34

Rule: This follows a Fibonacci-like rule: each term is the sum of the previous two.

So the next number is 34.

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NS-024 • Difficulty 3/5

Find the next number: 4, 14, 24, 34, 44, ?

Answer: 54

Rule: The pattern is an arithmetic sequence: add 10 each step.

So the next number is 54.

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NS-005 • Difficulty 5/5

Find the next number: 7, 17, 27, 37, 47, ?

Answer: 57

Rule: The pattern is an arithmetic sequence: add 10 each step.

So the next number is 57.

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NS-021 • Difficulty 5/5

Find the next number: 1, 3, 9, 27, 81, ?

Answer: 243

Rule: The pattern is geometric: multiply by 3 each step.

So the next number is 243.

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