Polynomial Sequences - Expert Level: conceptual clarity Polynomial Sequences EXPERT

This skill evaluation ⚡ worksheet focuses on Polynomial Sequences - a key topic in Logical Sequence. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master polynomial sequences ssc cgl, polynomial sequences reasoning tricks, and fast polynomial sequences solving through systematic practice.

📝 Worksheet 9 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:

Master polynomial sequences ssc cgl through focused practice
Understand the logic behind polynomial sequences reasoning tricks
Learn step-by-step approaches to conceptual clarity
Develop intuition for instant problem recognition
Achieve mastery with the most difficult problem types

Your progress through Polynomial Sequences

Worksheet 9 of 10 (88% complete)

Question 1

What is the next term in this sequence: 5, 13, 25, 41, ?

Quadratic sequence: 2n² + 2n + 1
When n=1: 5
n=2: 13
n=3: 25
n=4: 41
Next (n=5): 61

Question 2

What is the next term in this sequence: 2, 5, 10, 17, ?

Quadratic sequence: 1n² + 2n + 2
When n=0: 2
n=1: 5
n=2: 10
n=3: 17
Next (n=4): 26

Question 3

What is the next term in this sequence: 2, 6, 14, 26, ?

Quadratic sequence: 2n² + 2n + 2
When n=0: 2
n=1: 6
n=2: 14
n=3: 26
Next (n=4): 42

Question 4

What is the next term in this sequence: 3, 11, 31, 69, ?

Cubic sequence: 1n³ + 0n² + 1n + 1
Sequence: 3, 11, 31, 69
Next term: 131

Question 5

What is the next term in this sequence: 2, 6, 12, 20, ?

Quadratic sequence: 1n² + 3n + 2
When n=0: 2
n=1: 6
n=2: 12
n=3: 20
Next (n=4): 30

Question 6

What is the next term in this sequence: 3, 11, 31, 69, ?

Cubic sequence: 1n³ + 0n² + 1n + 1
Sequence: 3, 11, 31, 69
Next term: 131

Question 7

What is the next term in this sequence: 4, 10, 18, 28, ?

Quadratic sequence: 1n² + 3n + 0
When n=1: 4
n=2: 10
n=3: 18
n=4: 28
Next (n=5): 40

Question 8

What is the next term in this sequence: 2, 12, 36, 80, ?

Cubic sequence: 1n³ + 1n² + 0n + 0
Sequence: 2, 12, 36, 80
Next term: 150

Question 9

What is the next term in this sequence: 4, 9, 16, 25, ?

Quadratic sequence: 1n² + 2n + 1
When n=1: 4
n=2: 9
n=3: 16
n=4: 25
Next (n=5): 36

Question 10

What is the next term in this sequence: 2, 8, 18, 32, ?

Quadratic sequence: 2n² + 4n + 2
When n=0: 2
n=1: 8
n=2: 18
n=3: 32
Next (n=4): 50

Question 11

What is the next term in this sequence: 1, 8, 27, 64, ?

Cubic sequence: 1n³ + 0n² + 0n + 0
Sequence: 1, 8, 27, 64
Next term: 125

Question 12

What is the next term in this sequence: 4, 15, 40, 85, ?

Cubic sequence: 1n³ + 1n² + 1n + 1
Sequence: 4, 15, 40, 85
Next term: 156

Question 13

What is the next term in this sequence: 5, 14, 27, 44, ?

Quadratic sequence: 2n² + 3n + 0
When n=1: 5
n=2: 14
n=3: 27
n=4: 44
Next (n=5): 65

Question 14

What is the next term in this sequence: 1, 8, 27, 64, ?

Cubic sequence: 1n³ + 0n² + 0n + 0
Sequence: 1, 8, 27, 64
Next term: 125

Question 15

What is the next term in this sequence: 1, 4, 9, 16, ?

Quadratic sequence: 1n² + 2n + 1
When n=0: 1
n=1: 4
n=2: 9
n=3: 16
Next (n=4): 25

Question 16

What is the next term in this sequence: 2, 10, 30, 68, ?

Cubic sequence: 1n³ + 0n² + 1n + 0
Sequence: 2, 10, 30, 68
Next term: 130

Question 17

What is the next term in this sequence: 1, 8, 27, 64, ?

Cubic sequence: 1n³ + 0n² + 0n + 0
Sequence: 1, 8, 27, 64
Next term: 125

Question 18

What is the next term in this sequence: 3, 11, 31, 69, ?

Cubic sequence: 1n³ + 0n² + 1n + 1
Sequence: 3, 11, 31, 69
Next term: 131

Question 19

What is the next term in this sequence: 4, 15, 40, 85, ?

Cubic sequence: 1n³ + 1n² + 1n + 1
Sequence: 4, 15, 40, 85
Next term: 156

Question 20

What is the next term in this sequence: 1, 7, 17, 31, ?

Quadratic sequence: 2n² + 4n + 1
When n=0: 1
n=1: 7
n=2: 17
n=3: 31
Next (n=4): 49

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