Polynomial Sequences: Worksheet 10 - Expert Practice Polynomial Sequences EXPERT

Ready to master Polynomial Sequences? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve polynomial sequences reasoning tricks, handle fast polynomial sequences solving, and perfect polynomial sequences mastery with our step-by-step solutions.

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

What you'll learn in this worksheet:

Understand the logic behind fast polynomial sequences solving
Learn step-by-step approaches to application-based learning
Achieve mastery with the most difficult problem types
Perfect your speed and accuracy under time pressure
Master polynomial sequences reasoning tricks through focused practice

Your progress through Polynomial Sequences

Worksheet 10 of 10 (100% complete)

Question 1

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 2

What is the next term in this sequence: 3, 14, 39, 84, ?

Cubic sequence: 1n³ + 1n² + 1n + 0
Sequence: 3, 14, 39, 84
Next term: 155

Question 3

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 4

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 5

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 6

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 7

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 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: 2, 10, 30, 68, ?

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

Question 10

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 11

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 12

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 13

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 14

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 15

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 16

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 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: 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: 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 20

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

🏆 Congratulations! You've mastered Polynomial Sequences - all 10 worksheets completed!

Previous Worksheet