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Logical Sequence - Expert Level: circular sequences EXPERT

Intensive progress check 🎯 drill: 20 expert-level logical sequence questions. Worksheet 30 of 30 hones your circular sequences abilities. Practice step-by-step reasoning, process sequences, logical flow under timed conditions. Best for expert-level students seeking challenging problems and time-bound practice.

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

What you'll learn in this worksheet:
Your progress through Logical Sequence
Worksheet 30 of 30 (100% complete)

Question 1

Complete this number pyramid (each number is sum of the two below it): 25 12 13 6 6 7 5 1 5 2 What is the top number?
Working from bottom up:
Level 2: 6, 6, 7
Level 3: 12, 13
Top: 25
pyramid, tree, hierarchical

Question 2

Complete this number pyramid (each number is product of the two below it): 54 3 18 1 3 6 1 1 3 2 What is the top number?
Working from bottom up:
Level 2: 1, 3, 6
Level 3: 3, 18
Top: 54
pyramid, tree, hierarchical

Question 3

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 4

What is the next term in the sequence: 1, 4, 9, 16, 25, ?
Perfect squares starting from 1²: 1, 4, 9, 16, 25, 36
squares, powers

Question 5

What is the next letter in the sequence: Q, O, M, K, I, ?
Letters moving backward by 2 positions
Q, O, M, K, I → G
alphabet, letters, pattern

Question 6

What is the next term in this sequence: 5, 11, 19, 29, ?
Quadratic sequence: 1n² + 3n + 1
When n=1: 5
n=2: 11
n=3: 19
n=4: 29
Next (n=5): 41
quadratic, cubic, polynomial

Question 7

What is the next term in the sequence: 4, 9, 16, 25, 36, ?
Perfect squares starting from 2²: 4, 9, 16, 25, 36, 49
squares, powers

Question 8

What is the next term in the sequence: 4, 9, 16, 25, 36, ?
Perfect squares starting from 2²: 4, 9, 16, 25, 36, 49
squares, powers

Question 9

Complete this number pyramid (each number is product of the two below it): 16 4 4 2 2 2 1 2 1 2 What is the top number?
Working from bottom up:
Level 2: 2, 2, 2
Level 3: 4, 4
Top: 16
pyramid, tree, hierarchical

Question 10

What is the next term in the sequence: 4, 9, 16, 25, 36, ?
Perfect squares starting from 2²: 4, 9, 16, 25, 36, 49
squares, powers

Question 11

Complete this number pyramid (each number is product of the two below it): 192 24 8 6 4 2 3 2 2 1 What is the top number?
Working from bottom up:
Level 2: 6, 4, 2
Level 3: 24, 8
Top: 192
pyramid, tree, hierarchical

Question 12

What is the next term in this alternating sequence: 1, 3, 4, 7, 7, 11, 10, 15, ?
Two interleaved sequences:
- Sequence A: 1, 4, 7, 10 (add 3 each time)
- Sequence B: 3, 7, 11, 15 (add 4 each time)
Next term is from Sequence B: 19
alternating, mixed

Question 13

What is the next matrix in this sequence? [1, 1] [2, 2] ↓ ? (Choose the correct 2x2 matrix)
Pattern: Each row repeats the same number, increasing

Next matrix:
[3, 3]
[4, 4]
matrix, 2d, grid

Question 14

What is the next term in this fraction sequence: 1/2, 2/4, 3/6, 4/8, ?
Numerator increases by 1, denominator increases by 2
Sequence: 1/2, 2/4, 3/6, 4/8
Next: 5/10
fractions, rational

Question 15

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 16

What comes next in this pattern? 2, 4, 8, 16, ?
Doubling each time

Answer: 32
visual, pattern, shapes

Question 17

What is the next term in this alternating sequence: 4, 4, 6, 8, 8, 12, 10, 16, ?
Two interleaved sequences:
- Sequence A: 4, 6, 8, 10 (add 2 each time)
- Sequence B: 4, 8, 12, 16 (add 4 each time)
Next term is from Sequence B: 20
alternating, mixed

Question 18

Find the missing term: 2, 3, ?, 8, 13
Fibonacci-style sequence (each term is sum of previous two):
Full sequence: 2, 3, 5, 8, 13
Missing term: 5
missing-term, completion

Question 19

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 20

What comes next in this pattern? A, C, E, G, ?
Every other letter: A(1), C(3), E(5), G(7) → next I(9)

Answer: I
visual, pattern, shapes
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