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Polynomial Sequences Beginner-Intermediate Worksheet: Focus on common variations practice Polynomial Sequences BEGINNER INTERMEDIATE

Level up your Polynomial Sequences skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: polynomial sequences for competitive exams, how to solve polynomial sequences, polynomial sequences tricks.

šŸ“ Worksheet 4 of 10 ā€¢ 20 questions ā€¢ ā±ļø Estimated time: 20 minutes ā€¢ šŸŽÆ Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Polynomial Sequences
Worksheet 4 of 10 (33% complete)

Question 1

What is the next term in this sequence: 1, 5, 13, 25, ?
Quadratic sequence: 2nĀ² + 2n + 1
When n=0: 1
n=1: 5
n=2: 13
n=3: 25
Next (n=4): 41

Question 2

What is the next term in this sequence: 1, 7, 17, 31, ?
Quadratic sequence: 2nĀ² + 4n + 1
When n=0: 1
n=1: 7
n=2: 17
n=3: 31
Next (n=4): 49

Question 3

What is the next term in this sequence: 3, 14, 39, 84, ?
Cubic sequence: 1nĀ³ + 1nĀ² + 1n + 0
Sequence: 3, 14, 39, 84
Next term: 155

Question 4

What is the next term in this sequence: 1, 8, 27, 64, ?
Cubic sequence: 1nĀ³ + 0nĀ² + 0n + 0
Sequence: 1, 8, 27, 64
Next term: 125

Question 5

What is the next term in this sequence: 5, 11, 19, 29, ?
Quadratic sequence: 1nĀ² + 3n + 1
When n=1: 5
n=2: 11
n=3: 19
n=4: 29
Next (n=5): 41

Question 6

What is the next term in this sequence: 5, 14, 27, 44, ?
Quadratic sequence: 2nĀ² + 3n + 0
When n=1: 5
n=2: 14
n=3: 27
n=4: 44
Next (n=5): 65

Question 7

What is the next term in this sequence: 1, 5, 11, 19, ?
Quadratic sequence: 1nĀ² + 3n + 1
When n=0: 1
n=1: 5
n=2: 11
n=3: 19
Next (n=4): 29

Question 8

What is the next term in this sequence: 2, 9, 28, 65, ?
Cubic sequence: 1nĀ³ + 0nĀ² + 0n + 1
Sequence: 2, 9, 28, 65
Next term: 126

Question 9

What is the next term in this sequence: 1, 6, 15, 28, ?
Quadratic sequence: 2nĀ² + 3n + 1
When n=0: 1
n=1: 6
n=2: 15
n=3: 28
Next (n=4): 45

Question 10

What is the next term in this sequence: 5, 13, 25, 41, ?
Quadratic sequence: 2nĀ² + 2n + 1
When n=1: 5
n=2: 13
n=3: 25
n=4: 41
Next (n=5): 61

Question 11

What is the next term in this sequence: 4, 12, 24, 40, ?
Quadratic sequence: 2nĀ² + 2n + 0
When n=1: 4
n=2: 12
n=3: 24
n=4: 40
Next (n=5): 60

Question 12

What is the next term in this sequence: 1, 4, 9, 16, ?
Quadratic sequence: 1nĀ² + 2n + 1
When n=0: 1
n=1: 4
n=2: 9
n=3: 16
Next (n=4): 25

Question 13

What is the next term in this sequence: 1, 5, 13, 25, ?
Quadratic sequence: 2nĀ² + 2n + 1
When n=0: 1
n=1: 5
n=2: 13
n=3: 25
Next (n=4): 41

Question 14

What is the next term in this sequence: 5, 11, 19, 29, ?
Quadratic sequence: 1nĀ² + 3n + 1
When n=1: 5
n=2: 11
n=3: 19
n=4: 29
Next (n=5): 41

Question 15

What is the next term in this sequence: 2, 12, 36, 80, ?
Cubic sequence: 1nĀ³ + 1nĀ² + 0n + 0
Sequence: 2, 12, 36, 80
Next term: 150

Question 16

What is the next term in this sequence: 1, 6, 15, 28, ?
Quadratic sequence: 2nĀ² + 3n + 1
When n=0: 1
n=1: 6
n=2: 15
n=3: 28
Next (n=4): 45

Question 17

What is the next term in this sequence: 2, 7, 14, 23, ?
Quadratic sequence: 1nĀ² + 4n + 2
When n=0: 2
n=1: 7
n=2: 14
n=3: 23
Next (n=4): 34

Question 18

What is the next term in this sequence: 2, 10, 30, 68, ?
Cubic sequence: 1nĀ³ + 0nĀ² + 1n + 0
Sequence: 2, 10, 30, 68
Next term: 130

Question 19

What is the next term in this sequence: 2, 10, 30, 68, ?
Cubic sequence: 1nĀ³ + 0nĀ² + 1n + 0
Sequence: 2, 10, 30, 68
Next term: 130

Question 20

What is the next term in this sequence: 3, 11, 31, 69, ?
Cubic sequence: 1nĀ³ + 0nĀ² + 1n + 1
Sequence: 3, 11, 31, 69
Next term: 131
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