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Logical Sequence - Intermediate-Advanced Level: operation order INTERMEDIATE-ADVANCED

Intensive strategic solving 🎯 drill: 20 intermediate-advanced-level logical sequence questions. Worksheet 20 of 30 hones your operation order abilities. Practice conditional sequences, action sequences, logical progression under timed conditions. Best for advanced developing students seeking advanced concepts with increasing complexity.

📝 Worksheet 20 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Logical Sequence
Worksheet 20 of 30 (66% complete)

Question 1

What is the next term in the sequence: 3, 4, 7, 11, 18, 29, ?
Each term is sum of previous two: 3, 4, 7, 11, 18, 29, 47
fibonacci, addition

Question 2

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

Question 3

What is the next term in the sequence: 4, 7, 10, 13, 16, ?
Arithmetic sequence with common difference 3: 4, 7, 10, 13, 16, 19
arithmetic, linear

Question 4

What is the next term in this alternating sequence: 2, 3, 5, 9, 8, 27, 11, 81, ?
Two interleaved sequences:
- Sequence A: 2, 5, 8, 11, 14 (add 3 each time)
- Sequence B: 3, 9, 27, 81, 243 (multiply by 3 each time)
Next term is from Sequence B: 243
alternating, mixed

Question 5

What is the next term in this fraction sequence: 1/3, 3/9, 9/27, 27/81, ?
Multiply numerator and denominator by 3 each time
Sequence: 1/3, 3/9, 9/27, 27/81
Next: 81/243
fractions, rational

Question 6

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 7

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

Answer: I
visual, pattern, shapes

Question 8

What is the next term in the sequence: 3, 6, 12, 24, ?
Geometric sequence with ratio 2: 3, 6, 12, 24, 48
geometric, ratio

Question 9

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

Question 10

What is the next term in the sequence: 2, 6, 18, 54, ?
Geometric sequence with ratio 3: 2, 6, 18, 54, 162
geometric, ratio

Question 11

What is the next letter in the sequence: H, G, F, E, D, ?
Letters moving backward by 1 positions
H, G, F, E, D → C
alphabet, letters, pattern

Question 12

What is the next letter in the sequence: P, S, V, Y, \, ?
Letters advancing by 3 positions in alphabet
P, S, V, Y, \ → _
alphabet, letters, pattern

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 term in this alternating sign sequence: 3, -7, 11, -15, 19, ?
Arithmetic sequence (add 4) with alternating signs
Sequence: 3, -7, 11, -15, 19
Next base term: 23 → -23
alternating, signs, negative

Question 15

What is the next term in the sequence: 2, 6, 18, 54, ?
Geometric sequence with ratio 3: 2, 6, 18, 54, 162
geometric, ratio

Question 16

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

Question 17

What is the next term in the sequence: 2, 5, 10, 11, 22, ?
Pattern: +3 → *2 → +1 → *2 repeating. Next: 44
mixed, pattern

Question 18

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 19

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 20

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