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Logical Sequence - Intermediate Level: step-by-step reasoning INTERMEDIATE

Quick mental agility ★ session: 20 intermediate-level logical sequence questions. Worksheet 17 of 30 - Focus: step-by-step reasoning. Practice process sequences, logical flow, operation order with instant feedback. Great for mid-level students needing moderate complexity with mixed patterns practice.

📝 Worksheet 17 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Logical Sequence
Worksheet 17 of 30 (56% complete)

Question 1

What is the next term in the sequence: 9, 11, 13, 15, 17, ?
Arithmetic sequence with common difference 2: 9, 11, 13, 15, 17, 19
arithmetic, linear

Question 2

What is the next term in this fraction sequence: 1/3, 2/6, 4/12, 8/24, ?
Multiply numerator and denominator by 2 each time
Sequence: 1/3, 2/6, 4/12, 8/24
Next: 16/48
fractions, rational

Question 3

What comes next in this pattern? Z, X, V, T, ?
Moving backward 2 letters each time: Z(26), X(24), V(22), T(20) → next R(18)

Answer: R
visual, pattern, shapes

Question 4

What is the next term in the sequence: 9, 16, 25, 36, 49, ?
Perfect squares starting from 3²: 9, 16, 25, 36, 49, 64
squares, powers

Question 5

Complete this number pyramid (each number is product of the two below it): 81 9 9 3 3 3 1 3 1 3 What is the top number?
Working from bottom up:
Level 2: 3, 3, 3
Level 3: 9, 9
Top: 81
pyramid, tree, hierarchical

Question 6

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

Question 7

What is the next term in the sequence: 3, 9, 27, 81, ?
Geometric sequence with ratio 3: 3, 9, 27, 81, 243
geometric, ratio

Question 8

What is the next matrix in this sequence? [2, 4] [6, 8] ↓ ? (Choose the correct 2x2 matrix)
Pattern: Even numbers in order

Next matrix:
[10, 12]
[14, 16]
matrix, 2d, grid

Question 9

What is the next term in the sequence: 1, 4, 8, 9, 18, ?
Pattern: +3 → *2 → +1 → *2 repeating. Next: 36
mixed, pattern

Question 10

What is the next term in the sequence: 8, 11, 14, 17, 20, ?
Arithmetic sequence with common difference 3: 8, 11, 14, 17, 20, 23
arithmetic, linear

Question 11

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 12

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

Question 13

Find the missing term: 8, 13, ?, 23, 28
Arithmetic sequence with common difference 5:
Full sequence: 8, 13, 18, 23, 28
Missing term: 18
missing-term, completion

Question 14

What is the next term in the sequence: 10, 15, 20, 25, 30, ?
Arithmetic sequence with common difference 5: 10, 15, 20, 25, 30, 35
arithmetic, linear

Question 15

What is the next term in the sequence: 5, 8, 16, 17, 34, ?
Pattern: +3 → *2 → +1 → *2 repeating. Next: 68
mixed, pattern

Question 16

What is the next term in this alternating sequence: 4, 6, 8, 9, 12, 12, 16, 15, ?
Two interleaved sequences:
- Sequence A: 4, 8, 12, 16 (add 4 each time)
- Sequence B: 6, 9, 12, 15 (add 3 each time)
Next term is from Sequence B: 18
alternating, mixed

Question 17

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

Question 18

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

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

Question 19

What comes next in this pattern? Circle, Triangle, Square, Pentagon, ?
Increasing number of sides: Circle(0/infinite), Triangle(3), Square(4), Pentagon(5) → next has 6 sides

Answer: Hexagon
visual, pattern, shapes

Question 20

What is the next term in the sequence: 3, 4, 7, 11, 18, 29, ?
Each term is sum of previous two: 3, 4, 7, 11, 18, 29, 47
fibonacci, addition
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