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Logical Sequence - Intermediate Level: process sequences INTERMEDIATE

Comprehensive weakness targeting worksheet covering 20 intermediate-level logical sequence problems. Worksheet 18 of 30 emphasizes process sequences. Master logical flow, operation order, conditional sequences through detailed explanations. Difficulty: moderate complexity with mixed patterns. Tailored for mid-level preparation.

šŸ“ Worksheet 18 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 18 of 30 (60% complete)

Question 1

What is the next letter in the sequence: N, O, P, Q, R, ?
Letters advancing by 1 positions in alphabet
N, O, P, Q, R ā†’ S
alphabet, letters, pattern

Question 2

What is the next term in this sequence: 2, 5, 10, 17, ?
Quadratic sequence: 1nĀ² + 2n + 2
When n=0: 2
n=1: 5
n=2: 10
n=3: 17
Next (n=4): 26
quadratic, cubic, polynomial

Question 3

What is the next term in the sequence: 1, 4, 9, 16, 25, ?
Perfect squares starting from 1Ā²: 1, 4, 9, 16, 25, 36
squares, powers

Question 4

What is the next matrix in this sequence? [1, 1] [2, 2] ā†“ ? (Choose the correct 2x2 matrix)
Pattern: Each row repeats the same number, increasing

Next matrix:
[3, 3]
[4, 4]
matrix, 2d, grid

Question 5

What is the next term in the sequence: 4, 9, 16, 25, 36, ?
Perfect squares starting from 2Ā²: 4, 9, 16, 25, 36, 49
squares, powers

Question 6

What is the next term in the sequence: 1, 4, 9, 16, 25, ?
Perfect squares starting from 1Ā²: 1, 4, 9, 16, 25, 36
squares, powers

Question 7

What is the next term in the sequence: 9, 16, 25, 36, 49, ?
Perfect squares starting from 3Ā²: 9, 16, 25, 36, 49, 64
squares, powers

Question 8

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 9

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 10

What is the next letter in the sequence: M, O, Q, S, U, ?
Letters advancing by 2 positions in alphabet
M, O, Q, S, U ā†’ W
alphabet, letters, pattern

Question 11

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

Question 12

What is the next term in this fraction sequence: 1/3, 1/4, 1/5, 1/6, ?
Reciprocals of arithmetic sequence (add 1)
Sequence: 1/3, 1/4, 1/5, 1/6
Next: 1/7
fractions, rational

Question 13

What comes next in this pattern? A, C, E, G, ?
Every other letter: A(1), C(3), E(5), G(7) ā†’ next I(9)

Answer: I
visual, pattern, shapes

Question 14

What comes next in this pattern? Triangle, Square, Pentagon, Hexagon, ?
Increasing number of sides: 3, 4, 5, 6 ā†’ next has 7 sides

Answer: Heptagon
visual, pattern, shapes

Question 15

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 16

What is the next term in this alternating sign sequence: 2, -4, 6, -8, 10, ?
Arithmetic sequence (add 2) with alternating signs
Sequence: 2, -4, 6, -8, 10
Next base term: 12 ā†’ -12
alternating, signs, negative

Question 17

What is the next term in this fraction sequence: 2/4, 3/6, 4/8, 5/10, ?
Numerator increases by 1, denominator increases by 2
Sequence: 2/4, 3/6, 4/8, 5/10
Next: 6/12
fractions, rational

Question 18

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 19

What is the next term in the sequence: 5, 8, 16, 17, 34, ?
Pattern: +3 ā†’ *2 ā†’ +1 ā†’ *2 repeating. Next: 68
mixed, pattern

Question 20

Complete this number pyramid (each number is sum of the two below it): 25 11 14 4 7 7 2 2 5 2 What is the top number?
Working from bottom up:
Level 2: 4, 7, 7
Level 3: 11, 14
Top: 25
pyramid, tree, hierarchical
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