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Logical Sequence - Beginner Level: sequential logic BEGINNER

This foundation builder šŸŒŸ worksheet contains 20 beginner-level logical sequence problems. Worksheet 1 of 30 focuses on sequential logic. Practice sequential logic, step-by-step reasoning, process sequences with our step-by-step solutions. Difficulty: foundational concepts and basic patterns. Recommended for entry-level learners.

šŸ“ Worksheet 1 of 30 ā€¢ 20 questions ā€¢ ā±ļø Estimated time: 20 minutes ā€¢ šŸŽÆ Beginner level

What you'll learn in this worksheet:
Your progress through Logical Sequence
Worksheet 1 of 30 (3% complete)

Question 1

What is the next term in the sequence: 4, 8, 16, 32, ?
Geometric sequence with ratio 2: 4, 8, 16, 32, 64
geometric, ratio

Question 2

Find the missing term: 3, ?, 12, 24, 48
Geometric sequence with ratio 2:
Full sequence: 3, 6, 12, 24, 48
Missing term: 6
missing-term, completion

Question 3

What is the next term in the sequence: 9, 16, 25, 36, 49, ?
Perfect squares starting from 3Ā²: 9, 16, 25, 36, 49, 64
squares, powers

Question 4

What is the next letter in the sequence: B, C, D, F, ?
Consonants in order (skipping vowels)
alphabet, letters, pattern

Question 5

What is the next term in the sequence: 1, 4, 5, 9, 14, 23, ?
Each term is sum of previous two: 1, 4, 5, 9, 14, 23, 37
fibonacci, addition

Question 6

What is the next term in the sequence: 6, 11, 16, 21, 26, ?
Arithmetic sequence with common difference 5: 6, 11, 16, 21, 26, 31
arithmetic, linear

Question 7

What is the next term in the sequence: 4, 12, 36, 108, ?
Geometric sequence with ratio 3: 4, 12, 36, 108, 324
geometric, ratio

Question 8

What is the next term in this alternating sequence: 3, 2, 6, 6, 9, 18, 12, 54, ?
Two interleaved sequences:
- Sequence A: 3, 6, 9, 12, 15 (add 3 each time)
- Sequence B: 2, 6, 18, 54, 162 (multiply by 3 each time)
Next term is from Sequence B: 162
alternating, mixed

Question 9

What is the next term in the sequence: 1, 4, 9, 16, 25, ?
Perfect squares starting from 1Ā²: 1, 4, 9, 16, 25, 36
squares, powers

Question 10

Complete this number pyramid (each number is sum of the two below it): 21 10 11 4 6 5 1 3 3 2 What is the top number?
Working from bottom up:
Level 2: 4, 6, 5
Level 3: 10, 11
Top: 21
pyramid, tree, hierarchical

Question 11

What is the next term in this sequence: 4, 11, 22, 37, ?
Quadratic sequence: 2nĀ² + 1n + 1
When n=1: 4
n=2: 11
n=3: 22
n=4: 37
Next (n=5): 56
quadratic, cubic, polynomial

Question 12

Complete this number pyramid (each number is product of the two below it): 24 4 6 2 2 3 1 2 1 3 What is the top number?
Working from bottom up:
Level 2: 2, 2, 3
Level 3: 4, 6
Top: 24
pyramid, tree, hierarchical

Question 13

What comes next in this pattern? 1, 4, 9, 16, ?
Square numbers: 1Ā², 2Ā², 3Ā², 4Ā² ā†’ next 5Ā² = 25

Answer: 25
visual, pattern, shapes

Question 14

What comes next in this pattern? 1, 4, 9, 16, ?
Square numbers: 1Ā², 2Ā², 3Ā², 4Ā² ā†’ next 5Ā² = 25

Answer: 25
visual, pattern, shapes

Question 15

What is the next term in the sequence: 2, 5, 10, 11, 22, ?
Pattern: +3 ā†’ *2 ā†’ +1 ā†’ *2 repeating. Next: 44
mixed, pattern

Question 16

What is the next term in the sequence: 4, 7, 14, 15, 30, ?
Pattern: +3 ā†’ *2 ā†’ +1 ā†’ *2 repeating. Next: 60
mixed, pattern

Question 17

Complete this number pyramid (each number is sum of the two below it): 26 13 13 7 6 7 4 3 3 4 What is the top number?
Working from bottom up:
Level 2: 7, 6, 7
Level 3: 13, 13
Top: 26
pyramid, tree, hierarchical

Question 18

What is the next term in this alternating sign sequence: 2, -5, 8, -11, 14, ?
Arithmetic sequence (add 3) with alternating signs
Sequence: 2, -5, 8, -11, 14
Next base term: 17 ā†’ -17
alternating, signs, negative

Question 19

What is the next term in this sequence: 5, 13, 25, 41, ?
Quadratic sequence: 2nĀ² + 2n + 1
When n=1: 5
n=2: 13
n=3: 25
n=4: 41
Next (n=5): 61
quadratic, cubic, polynomial

Question 20

What is the next matrix in this sequence? [1, 2] [3, 4] ā†“ ? (Choose the correct 2x2 matrix)
Pattern: Numbers increase by 1 in row-major order

Next matrix:
[5, 6]
[7, 8]
matrix, 2d, grid
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