Polynomial Sequences: Worksheet 2 - Beginner Practice Polynomial Sequences BEGINNER

Ready to master Polynomial Sequences? This entry level practice worksheet (2/10) presents 20 beginner-level challenges. Focus area: pattern recognition. Learn to solve polynomial sequences reasoning questions, handle polynomial sequences practice, and perfect polynomial sequences for competitive exams with our step-by-step solutions.

📝 Worksheet 2 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:

Understand the logic behind polynomial sequences practice
Learn step-by-step approaches to pattern recognition
Practice basic problem types with clear explanations
Develop systematic problem-solving habits
Master polynomial sequences reasoning questions through focused practice

Your progress through Polynomial Sequences

Worksheet 2 of 10 (11% complete)

Question 1

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 2

What is the next term in this sequence: 6, 15, 28, 45, ?

Quadratic sequence: 2n² + 3n + 1
When n=1: 6
n=2: 15
n=3: 28
n=4: 45
Next (n=5): 66

Question 3

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 4

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 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: 1, 5, 13, 25, ?

Quadratic sequence: 2n² + 2n + 1
When n=0: 1
n=1: 5
n=2: 13
n=3: 25
Next (n=4): 41

Question 7

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 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, 11, 22, 37, ?

Quadratic sequence: 2n² + 1n + 1
When n=1: 4
n=2: 11
n=3: 22
n=4: 37
Next (n=5): 56

Question 10

What is the next term in this sequence: 6, 15, 28, 45, ?

Quadratic sequence: 2n² + 3n + 1
When n=1: 6
n=2: 15
n=3: 28
n=4: 45
Next (n=5): 66

Question 11

What is the next term in this sequence: 3, 8, 15, 24, ?

Quadratic sequence: 1n² + 2n + 0
When n=1: 3
n=2: 8
n=3: 15
n=4: 24
Next (n=5): 35

Question 12

What is the next term in this sequence: 6, 15, 28, 45, ?

Quadratic sequence: 2n² + 3n + 1
When n=1: 6
n=2: 15
n=3: 28
n=4: 45
Next (n=5): 66

Question 13

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 14

What is the next term in this sequence: 1, 5, 11, 19, ?

Quadratic sequence: 1n² + 3n + 1
When n=0: 1
n=1: 5
n=2: 11
n=3: 19
Next (n=4): 29

Question 15

What is the next term in this sequence: 1, 6, 13, 22, ?

Quadratic sequence: 1n² + 4n + 1
When n=0: 1
n=1: 6
n=2: 13
n=3: 22
Next (n=4): 33

Question 16

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 17

What is the next term in this sequence: 3, 7, 13, 21, ?

Quadratic sequence: 1n² + 1n + 1
When n=1: 3
n=2: 7
n=3: 13
n=4: 21
Next (n=5): 31

Question 18

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 19

What is the next term in this sequence: 6, 15, 28, 45, ?

Quadratic sequence: 2n² + 3n + 1
When n=1: 6
n=2: 15
n=3: 28
n=4: 45
Next (n=5): 66

Question 20

What is the next term in this sequence: 3, 13, 37, 81, ?

Cubic sequence: 1n³ + 1n² + 0n + 1
Sequence: 3, 13, 37, 81
Next term: 151

📝 Continue your Polynomial Sequences practice. Worksheet 2 focuses on pattern recognition.

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