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Master Polynomial Sequences - Beginner Level Problems Polynomial Sequences BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Polynomial Sequences. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing polynomial sequences practice, polynomial sequences for competitive exams, and how to solve polynomial sequences.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Polynomial Sequences
Worksheet 3 of 10 (22% complete)

Question 1

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 2

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 3

What is the next term in this sequence: 5, 11, 19, 29, ?
Quadratic sequence: 1n² + 3n + 1
When n=1: 5
n=2: 11
n=3: 19
n=4: 29
Next (n=5): 41

Question 4

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 5

What is the next term in this sequence: 2, 7, 14, 23, ?
Quadratic sequence: 1n² + 4n + 2
When n=0: 2
n=1: 7
n=2: 14
n=3: 23
Next (n=4): 34

Question 6

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 7

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 8

What is the next term in this sequence: 5, 11, 19, 29, ?
Quadratic sequence: 1n² + 3n + 1
When n=1: 5
n=2: 11
n=3: 19
n=4: 29
Next (n=5): 41

Question 9

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 10

What is the next term in this sequence: 2, 9, 28, 65, ?
Cubic sequence: 1n³ + 0n² + 0n + 1
Sequence: 2, 9, 28, 65
Next term: 126

Question 11

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 12

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 13

What is the next term in this sequence: 2, 6, 12, 20, ?
Quadratic sequence: 1n² + 1n + 0
When n=1: 2
n=2: 6
n=3: 12
n=4: 20
Next (n=5): 30

Question 14

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 15

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 16

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 17

What is the next term in this sequence: 2, 6, 12, 20, ?
Quadratic sequence: 1n² + 1n + 0
When n=1: 2
n=2: 6
n=3: 12
n=4: 20
Next (n=5): 30

Question 18

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

Question 19

What is the next term in this sequence: 2, 7, 16, 29, ?
Quadratic sequence: 2n² + 3n + 2
When n=0: 2
n=1: 7
n=2: 16
n=3: 29
Next (n=4): 46

Question 20

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
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