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Logical Sequence - Beginner-Intermediate Level: logical progression BEGINNER-INTERMEDIATE

Comprehensive race against clock worksheet covering 20 beginner-intermediate-level logical sequence problems. Worksheet 8 of 30 emphasizes logical progression. Master sequential logic, step-by-step reasoning, process sequences through detailed explanations. Difficulty: building on fundamentals with moderate challenges. Tailored for developing preparation.

📝 Worksheet 8 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Logical Sequence
Worksheet 8 of 30 (26% complete)

Question 1

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 2

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 3

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 4

What is the next term in this alternating sign sequence: 9, -16, 25, -36, 49, ?
Square numbers with alternating signs
Sequence: 9, -16, 25, -36, 49
Next term: -64
alternating, signs, negative

Question 5

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 6

What is the next term in this alternating sequence: 5, 5, 9, 10, 13, 15, 17, 20, ?
Two interleaved sequences:
- Sequence A: 5, 9, 13, 17 (add 4 each time)
- Sequence B: 5, 10, 15, 20 (add 5 each time)
Next term is from Sequence B: 25
alternating, mixed

Question 7

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

Question 8

What is the next letter in the sequence: A, C, E, G, I, ?
Letters advancing by 2 positions in alphabet
A, C, E, G, I → K
alphabet, letters, pattern

Question 9

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 10

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 11

Find the missing term: 4, 8, 16, ?, 64
Geometric sequence with ratio 2:
Full sequence: 4, 8, 16, 32, 64
Missing term: 32
missing-term, completion

Question 12

What is the next term in this fraction sequence: 1/2, 1/3, 1/4, 1/5, ?
Reciprocals of arithmetic sequence (add 1)
Sequence: 1/2, 1/3, 1/4, 1/5
Next: 1/6
fractions, rational

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 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 15

What is the next term in this fraction sequence: 1/4, 1/6, 1/8, 1/10, ?
Reciprocals of arithmetic sequence (add 2)
Sequence: 1/4, 1/6, 1/8, 1/10
Next: 1/12
fractions, rational

Question 16

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

Question 17

What is the next term in this fraction sequence: 2/5, 4/10, 8/20, 16/40, ?
Multiply numerator and denominator by 2 each time
Sequence: 2/5, 4/10, 8/20, 16/40
Next: 32/80
fractions, rational

Question 18

Complete this number pyramid (each number is sum of the two below it): 29 15 14 6 9 5 1 5 4 1 What is the top number?
Working from bottom up:
Level 2: 6, 9, 5
Level 3: 15, 14
Top: 29
pyramid, tree, hierarchical

Question 19

What is the next term in the prime sequence: 5, 7, 11, 13, ?
Consecutive prime numbers: 5, 7, 11, 13, 17
primes, number-theory

Question 20

What is the next term in this fraction sequence: 1/3, 2/5, 3/7, 4/9, ?
Numerator increases by 1, denominator increases by 2
Sequence: 1/3, 2/5, 3/7, 4/9
Next: 5/11
fractions, rational
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