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Logical Sequence - Beginner-Intermediate Level: sequence completion BEGINNER-INTERMEDIATE

Strategic fast track practice for logical sequence: 20 beginner-intermediate-level problems. Worksheet 9 of 30 - Focus: sequence completion. Develop expertise in step-by-step reasoning, process sequences, logical flow with step-by-step solutions. Ideal for developing learners targeting building on fundamentals with moderate challenges.

šŸ“ Worksheet 9 of 30 ā€¢ 20 questions ā€¢ ā±ļø Estimated time: 20 minutes ā€¢ šŸŽÆ Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Logical Sequence
Worksheet 9 of 30 (30% complete)

Question 1

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 2

What is the next matrix in this sequence? [1, 2] [3, 4] ā†“ ? (Choose the correct 2x2 matrix)
Pattern: Numbers increase by 1 in row-major order

Next matrix:
[5, 6]
[7, 8]
matrix, 2d, grid

Question 3

Find the missing term: 10, ?, 14, 16, 18
Arithmetic sequence with common difference 2:
Full sequence: 10, 12, 14, 16, 18
Missing term: 12
missing-term, completion

Question 4

What is the next matrix in this sequence? [1, 2] [3, 4] ā†“ ? (Choose the correct 2x2 matrix)
Pattern: Numbers increase by 1 in row-major order

Next matrix:
[5, 6]
[7, 8]
matrix, 2d, grid

Question 5

What is the next term in this alternating sequence: 2, 5, 5, 9, 8, 13, 11, 17, ?
Two interleaved sequences:
- Sequence A: 2, 5, 8, 11 (add 3 each time)
- Sequence B: 5, 9, 13, 17 (add 4 each time)
Next term is from Sequence B: 21
alternating, mixed

Question 6

What is the next term in this alternating sequence: 3, 2, 6, 6, 9, 18, 12, 54, ?
Two interleaved sequences:
- Sequence A: 3, 6, 9, 12, 15 (add 3 each time)
- Sequence B: 2, 6, 18, 54, 162 (multiply by 3 each time)
Next term is from Sequence B: 162
alternating, mixed

Question 7

What is the next term in this alternating sequence: 5, 4, 7, 7, 9, 10, 11, 13, ?
Two interleaved sequences:
- Sequence A: 5, 7, 9, 11 (add 2 each time)
- Sequence B: 4, 7, 10, 13 (add 3 each time)
Next term is from Sequence B: 16
alternating, mixed

Question 8

What is the next term in this sequence: 1, 8, 27, 64, ?
Cubic sequence: 1nĀ³ + 0nĀ² + 0n + 0
Sequence: 1, 8, 27, 64
Next term: 125
quadratic, cubic, polynomial

Question 9

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 10

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 11

Find the missing term: 3, 9, 27, ?, 243
Geometric sequence with ratio 3:
Full sequence: 3, 9, 27, 81, 243
Missing term: 81
missing-term, completion

Question 12

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

Question 13

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 14

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 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 the prime sequence: 7, 11, 13, 17, ?
Consecutive prime numbers: 7, 11, 13, 17, 19
primes, number-theory

Question 17

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 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 the sequence: 2, 5, 10, 11, 22, ?
Pattern: +3 ā†’ *2 ā†’ +1 ā†’ *2 repeating. Next: 44
mixed, pattern

Question 20

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
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