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Logical Sequence - Expert Level: dependency chains EXPERT

Strategic basic drills ★ for logical sequence: 20 expert-level problems. Worksheet 29 of 30 - Focus: dependency chains. Develop expertise in sequential logic, step-by-step reasoning, process sequences with step-by-step solutions. Ideal for expert-level learners targeting challenging problems and time-bound practice.

📝 Worksheet 29 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Logical Sequence
Worksheet 29 of 30 (96% complete)

Question 1

What is the next term in the prime sequence: 7, 11, 13, 17, ?
Consecutive prime numbers: 7, 11, 13, 17, 19
primes, number-theory

Question 2

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 3

What is the next term in the sequence: 3, 5, 7, 9, 11, ?
Arithmetic sequence with common difference 2: 3, 5, 7, 9, 11, 13
arithmetic, linear

Question 4

What is the next term in this sequence: 3, 14, 39, 84, ?
Cubic sequence: 1n³ + 1n² + 1n + 0
Sequence: 3, 14, 39, 84
Next term: 155
quadratic, cubic, polynomial

Question 5

What is the next term in this alternating sequence: 2, 3, 4, 6, 6, 9, 8, 12, ?
Two interleaved sequences:
- Sequence A: 2, 4, 6, 8 (add 2 each time)
- Sequence B: 3, 6, 9, 12 (add 3 each time)
Next term is from Sequence B: 15
alternating, mixed

Question 6

What is the next term in this sequence: 4, 15, 40, 85, ?
Cubic sequence: 1n³ + 1n² + 1n + 1
Sequence: 4, 15, 40, 85
Next term: 156
quadratic, cubic, polynomial

Question 7

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 8

Find the missing term: 3, 2, 5, ?, 12
Fibonacci-style sequence (each term is sum of previous two):
Full sequence: 3, 2, 5, 7, 12
Missing term: 7
missing-term, completion

Question 9

What is the next term in this sequence: 2, 12, 36, 80, ?
Cubic sequence: 1n³ + 1n² + 0n + 0
Sequence: 2, 12, 36, 80
Next term: 150
quadratic, cubic, polynomial

Question 10

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

Question 11

Complete this number pyramid (each number is sum of the two below it): 18 8 10 4 4 6 2 2 2 4 What is the top number?
Working from bottom up:
Level 2: 4, 4, 6
Level 3: 8, 10
Top: 18
pyramid, tree, hierarchical

Question 12

What is the next term in the sequence: 3, 8, 13, 18, 23, ?
Arithmetic sequence with common difference 5: 3, 8, 13, 18, 23, 28
arithmetic, linear

Question 13

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 14

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 15

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 16

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

Question 17

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 18

What is the next term in the sequence: 3, 7, 11, 15, 19, ?
Arithmetic sequence with common difference 4: 3, 7, 11, 15, 19, 23
arithmetic, linear

Question 19

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 20

What is the next term in this sequence: 2, 5, 10, 17, ?
Quadratic sequence: 1n² + 2n + 2
When n=0: 2
n=1: 5
n=2: 10
n=3: 17
Next (n=4): 26
quadratic, cubic, polynomial
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