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Logical Sequence - Intermediate Level: dependency chains INTERMEDIATE

Level up your logical sequence skills with this comprehensive review. 20 intermediate-level problems await in Worksheet 14 of 30. Focus area: dependency chains. Learn action sequences, logical progression, sequence completion through systematic practice. Designed for mid-level learners seeking moderate complexity with mixed patterns.

📝 Worksheet 14 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Logical Sequence
Worksheet 14 of 30 (46% complete)

Question 1

What is the next term in the sequence: 3, 7, 11, 15, 19, ?
Arithmetic sequence with common difference 4: 3, 7, 11, 15, 19, 23
arithmetic, linear

Question 2

What is the next term in this fraction sequence: 1/2, 1/4, 1/6, 1/8, ?
Reciprocals of arithmetic sequence (add 2)
Sequence: 1/2, 1/4, 1/6, 1/8
Next: 1/10
fractions, rational

Question 3

What is the next term in the sequence: 4, 8, 16, 32, ?
Geometric sequence with ratio 2: 4, 8, 16, 32, 64
geometric, ratio

Question 4

Complete this number pyramid (each number is sum of the two below it): 30 15 15 7 8 7 3 4 4 3 What is the top number?
Working from bottom up:
Level 2: 7, 8, 7
Level 3: 15, 15
Top: 30
pyramid, tree, hierarchical

Question 5

What is the next term in this alternating sequence: 1, 3, 5, 9, 9, 27, 13, 81, ?
Two interleaved sequences:
- Sequence A: 1, 5, 9, 13, 17 (add 4 each time)
- Sequence B: 3, 9, 27, 81, 243 (multiply by 3 each time)
Next term is from Sequence B: 243
alternating, mixed

Question 6

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 7

What is the next term in this alternating sign sequence: 4, -9, 16, -25, 36, ?
Square numbers with alternating signs
Sequence: 4, -9, 16, -25, 36
Next term: -49
alternating, signs, negative

Question 8

What is the next term in the sequence: 9, 16, 25, 36, 49, ?
Perfect squares starting from 3²: 9, 16, 25, 36, 49, 64
squares, powers

Question 9

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

Question 10

What is the next letter in the sequence: Q, P, O, N, M, ?
Letters moving backward by 1 positions
Q, P, O, N, M → L
alphabet, letters, pattern

Question 11

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

Question 12

What is the next term in the sequence: 7, 9, 11, 13, 15, ?
Arithmetic sequence with common difference 2: 7, 9, 11, 13, 15, 17
arithmetic, linear

Question 13

Complete this number pyramid (each number is product of the two below it): 1296 36 36 6 6 6 3 2 3 2 What is the top number?
Working from bottom up:
Level 2: 6, 6, 6
Level 3: 36, 36
Top: 1296
pyramid, tree, hierarchical

Question 14

What is the next term in the sequence: 10, 12, 14, 16, 18, ?
Arithmetic sequence with common difference 2: 10, 12, 14, 16, 18, 20
arithmetic, linear

Question 15

What is the next term in the sequence: 10, 15, 20, 25, 30, ?
Arithmetic sequence with common difference 5: 10, 15, 20, 25, 30, 35
arithmetic, linear

Question 16

Find the missing term: 3, 7, ?, 15, 19
Arithmetic sequence with common difference 4:
Full sequence: 3, 7, 11, 15, 19
Missing term: 11
missing-term, completion

Question 17

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 18

Find the missing term: 6, 9, 12, ?, 18
Arithmetic sequence with common difference 3:
Full sequence: 6, 9, 12, 15, 18
Missing term: 15
missing-term, completion

Question 19

What is the next term in this fraction sequence: 2/3, 4/6, 8/12, 16/24, ?
Multiply numerator and denominator by 2 each time
Sequence: 2/3, 4/6, 8/12, 16/24
Next: 32/48
fractions, rational

Question 20

What comes next in this pattern? 2, 4, 8, 16, ?
Doubling each time

Answer: 32
visual, pattern, shapes
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