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Logical Sequence - Intermediate Level: sequential logic INTERMEDIATE

Master logical sequence concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into sequential logic while learning step-by-step reasoning, process sequences, logical flow. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.

šŸ“ Worksheet 16 of 30 ā€¢ 20 questions ā€¢ ā±ļø Estimated time: 20 minutes ā€¢ šŸŽÆ Intermediate level

What you'll learn in this worksheet:
Your progress through Logical Sequence
Worksheet 16 of 30 (53% complete)

Question 1

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 2

Find the missing term: 10, ?, 18, 22, 26
Arithmetic sequence with common difference 4:
Full sequence: 10, 14, 18, 22, 26
Missing term: 14
missing-term, completion

Question 3

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

Question 4

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 5

What is the next term in the prime sequence: 2, 3, 5, 7, ?
Consecutive prime numbers: 2, 3, 5, 7, 11
primes, number-theory

Question 6

Find the missing term: 1, 4, ?, 9, 14
Fibonacci-style sequence (each term is sum of previous two):
Full sequence: 1, 4, 5, 9, 14
Missing term: 5
missing-term, completion

Question 7

What is the next term in the sequence: 3, 6, 12, 13, 26, ?
Pattern: +3 ā†’ *2 ā†’ +1 ā†’ *2 repeating. Next: 52
mixed, pattern

Question 8

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 9

What is the next term in the sequence: 3, 2, 5, 7, 12, 19, ?
Each term is sum of previous two: 3, 2, 5, 7, 12, 19, 31
fibonacci, addition

Question 10

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
quadratic, cubic, polynomial

Question 11

What is the next term in the sequence: 7, 11, 15, 19, 23, ?
Arithmetic sequence with common difference 4: 7, 11, 15, 19, 23, 27
arithmetic, linear

Question 12

What is the next term in this alternating sign sequence: 2, -6, 10, -14, 18, ?
Arithmetic sequence (add 4) with alternating signs
Sequence: 2, -6, 10, -14, 18
Next base term: 22 ā†’ -22
alternating, signs, negative

Question 13

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

Question 14

What is the next term in this fraction sequence: 2/3, 3/4, 4/5, 5/6, ?
Numerator increases by 1, denominator increases by 1
Sequence: 2/3, 3/4, 4/5, 5/6
Next: 6/7
fractions, rational

Question 15

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 16

What is the next term in this alternating sequence: 2, 3, 4, 9, 6, 27, 8, 81, ?
Two interleaved sequences:
- Sequence A: 2, 4, 6, 8, 10 (add 2 each time)
- Sequence B: 3, 9, 27, 81, 243 (multiply by 3 each time)
Next term is from Sequence B: 243
alternating, mixed

Question 17

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 18

What is the next term in the prime sequence: 3, 5, 7, 11, ?
Consecutive prime numbers: 3, 5, 7, 11, 13
primes, number-theory

Question 19

What is the next term in this fraction sequence: 2/4, 6/12, 18/36, 54/108, ?
Multiply numerator and denominator by 3 each time
Sequence: 2/4, 6/12, 18/36, 54/108
Next: 162/324
fractions, rational

Question 20

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
fibonacci, addition
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