Question 1
What is the next term in the prime sequence: 3, 5, 7, 11, ?
Consecutive prime numbers: 3, 5, 7, 11, 13
Logical Sequence - Intermediate-Advanced Level: conditional sequences INTERMEDIATE-ADVANCED
This fundamentals focus worksheet contains 20 intermediate-advanced-level logical sequence problems. Worksheet 21 of 30 focuses on conditional sequences. Practice action sequences, logical progression, sequence completion with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.
What you'll learn in this worksheet:
- Tackle exam-style action sequences questions with confidence
- Learn time-saving tricks for logical progression problems
- Practice fundamentals focus techniques for better scores
- Identify and avoid common mistakes in sequence completion
- Build exam temperament through conditional sequences practice
Your progress through Logical Sequence
Worksheet 21 of 30 (70% complete)
Question 2
What is the next term in this sequence: 4, 10, 18, 28, ?
Quadratic sequence: 1nĀ² + 3n + 0
When n=1: 4
n=2: 10
n=3: 18
n=4: 28
Next (n=5): 40
When n=1: 4
n=2: 10
n=3: 18
n=4: 28
Next (n=5): 40
Question 3
What is the next term in this fraction sequence: 2/2, 3/4, 4/6, 5/8, ?
Numerator increases by 1, denominator increases by 2
Sequence: 2/2, 3/4, 4/6, 5/8
Next: 6/10
Sequence: 2/2, 3/4, 4/6, 5/8
Next: 6/10
Question 4
What is the next term in the sequence: 2, 6, 18, 54, ?
Geometric sequence with ratio 3: 2, 6, 18, 54, 162
Question 5
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
Sequence: 2/5, 4/10, 8/20, 16/40
Next: 32/80
Question 6
What is the next letter in the sequence: T, S, R, Q, P, ?
Letters moving backward by 1 positions
T, S, R, Q, P ā O
T, S, R, Q, P ā O
Question 7
What is the next term in the sequence: 4, 12, 36, 108, ?
Geometric sequence with ratio 3: 4, 12, 36, 108, 324
Question 8
What is the next term in this alternating sequence: 2, 3, 6, 9, 10, 27, 14, 81, ?
Two interleaved sequences:
- Sequence A: 2, 6, 10, 14, 18 (add 4 each time)
- Sequence B: 3, 9, 27, 81, 243 (multiply by 3 each time)
Next term is from Sequence B: 243
- Sequence A: 2, 6, 10, 14, 18 (add 4 each time)
- Sequence B: 3, 9, 27, 81, 243 (multiply by 3 each time)
Next term is from Sequence B: 243
Question 9
What is the next term in the sequence: 1, 2, 3, 5, 8, 13, ?
Each term is sum of previous two: 1, 2, 3, 5, 8, 13, 21
Question 10
What is the next term in the sequence: 7, 9, 11, 13, 15, ?
Arithmetic sequence with common difference 2: 7, 9, 11, 13, 15, 17
Question 11
What is the next term in the sequence: 4, 12, 36, 108, ?
Geometric sequence with ratio 3: 4, 12, 36, 108, 324
Question 12
What is the next term in the sequence: 1, 2, 3, 5, 8, 13, ?
Each term is sum of previous two: 1, 2, 3, 5, 8, 13, 21
Question 13
What is the next letter in the sequence: E, F, G, H, I, ?
Letters advancing by 1 positions in alphabet
E, F, G, H, I ā J
E, F, G, H, I ā J
Question 14
What is the next term in the prime sequence: 2, 3, 5, 7, ?
Consecutive prime numbers: 2, 3, 5, 7, 11
Question 15
What is the next term in the sequence: 2, 3, 5, 8, 13, 21, ?
Each term is sum of previous two: 2, 3, 5, 8, 13, 21, 34
Question 16
What is the next matrix in this sequence?
[2, 4]
[6, 8]
ā
? (Choose the correct 2x2 matrix)
Pattern: Even numbers in order
Next matrix:
[10, 12]
[14, 16]
Next matrix:
[10, 12]
[14, 16]
Question 17
What is the next term in this alternating sign sequence: 3, -9, 27, -81, 243, ?
Geometric sequence (multiply by 3) with alternating signs
Sequence: 3, -9, 27, -81, 243
Next term: -729
Sequence: 3, -9, 27, -81, 243
Next term: -729
Question 18
What is the next term in this alternating sequence: 2, 5, 5, 10, 8, 15, 11, 20, ?
Two interleaved sequences:
- Sequence A: 2, 5, 8, 11 (add 3 each time)
- Sequence B: 5, 10, 15, 20 (add 5 each time)
Next term is from Sequence B: 25
- Sequence A: 2, 5, 8, 11 (add 3 each time)
- Sequence B: 5, 10, 15, 20 (add 5 each time)
Next term is from Sequence B: 25
Question 19
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
Sequence: 1/3, 2/6, 4/12, 8/24
Next: 16/48
Question 20
Find the missing term: 1, 3, 4, ?, 11
Fibonacci-style sequence (each term is sum of previous two):
Full sequence: 1, 3, 4, 7, 11
Missing term: 7
Full sequence: 1, 3, 4, 7, 11
Missing term: 7
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