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Logical Sequence - Advanced Level: logical progression ADVANCED

Exam-focused holistic practice ā˜… worksheet: 20 advanced-level logical sequence questions. Worksheet 23 of 30 targets logical progression. Build proficiency in step-by-step reasoning, process sequences, logical flow with detailed solutions. Ideal for advanced competitive exam preparation.

šŸ“ Worksheet 23 of 30 ā€¢ 20 questions ā€¢ ā±ļø Estimated time: 20 minutes ā€¢ šŸŽÆ Advanced level

What you'll learn in this worksheet:
Your progress through Logical Sequence
Worksheet 23 of 30 (76% complete)

Question 1

What is the next letter in the sequence: C, F, I, L, O, ?
Letters advancing by 3 positions in alphabet
C, F, I, L, O ā†’ R
alphabet, letters, pattern

Question 2

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
fibonacci, addition

Question 3

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 4

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 5

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 6

Find the missing term: 4, 6, ?, 10, 12
Arithmetic sequence with common difference 2:
Full sequence: 4, 6, 8, 10, 12
Missing term: 8
missing-term, completion

Question 7

What is the next term in this fraction sequence: 3/3, 5/4, 7/5, 9/6, ?
Numerator increases by 2, denominator increases by 1
Sequence: 3/3, 5/4, 7/5, 9/6
Next: 11/7
fractions, rational

Question 8

What is the next term in the sequence: 4, 7, 14, 15, 30, ?
Pattern: +3 ā†’ *2 ā†’ +1 ā†’ *2 repeating. Next: 60
mixed, pattern

Question 9

What is the next term in this sequence: 1, 7, 17, 31, ?
Quadratic sequence: 2nĀ² + 4n + 1
When n=0: 1
n=1: 7
n=2: 17
n=3: 31
Next (n=4): 49
quadratic, cubic, polynomial

Question 10

What is the next term in this alternating sign sequence: 5, -7, 9, -11, 13, ?
Arithmetic sequence (add 2) with alternating signs
Sequence: 5, -7, 9, -11, 13
Next base term: 15 ā†’ -15
alternating, signs, negative

Question 11

What is the next term in the sequence: 5, 10, 15, 20, 25, ?
Arithmetic sequence with common difference 5: 5, 10, 15, 20, 25, 30
arithmetic, linear

Question 12

What is the next term in this fraction sequence: 1/3, 1/5, 1/7, 1/9, ?
Reciprocals of arithmetic sequence (add 2)
Sequence: 1/3, 1/5, 1/7, 1/9
Next: 1/11
fractions, rational

Question 13

What is the next letter in the sequence: A, E, I, O, ?
Vowels in order
alphabet, letters, pattern

Question 14

Complete this number pyramid (each number is sum of the two below it): 21 8 13 2 6 7 1 1 5 2 What is the top number?
Working from bottom up:
Level 2: 2, 6, 7
Level 3: 8, 13
Top: 21
pyramid, tree, hierarchical

Question 15

What is the next term in this sequence: 2, 10, 30, 68, ?
Cubic sequence: 1nĀ³ + 0nĀ² + 1n + 0
Sequence: 2, 10, 30, 68
Next term: 130
quadratic, cubic, polynomial

Question 16

What is the next term in the sequence: 2, 4, 6, 10, 16, 26, ?
Each term is sum of previous two: 2, 4, 6, 10, 16, 26, 42
fibonacci, addition

Question 17

What is the next term in this alternating sign sequence: 1, -4, 9, -16, 25, ?
Square numbers with alternating signs
Sequence: 1, -4, 9, -16, 25
Next term: -36
alternating, signs, negative

Question 18

What is the next term in the sequence: 3, 3, 6, 9, 15, 24, ?
Each term is sum of previous two: 3, 3, 6, 9, 15, 24, 39
fibonacci, addition

Question 19

Complete this number pyramid (each number is sum of the two below it): 22 8 14 3 5 9 2 1 4 5 What is the top number?
Working from bottom up:
Level 2: 3, 5, 9
Level 3: 8, 14
Top: 22
pyramid, tree, hierarchical

Question 20

What is the next term in the sequence: 2, 4, 8, 16, ?
Geometric sequence with ratio 2: 2, 4, 8, 16, 32
geometric, ratio
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