Number Series - Beginner Level: cube series BEGINNER

Level up your number series skills with this entry level practice. 20 beginner-level problems await in Worksheet 4 of 30. Focus area: cube series. Learn square series, cube series, fibonacci patterns through systematic practice. Designed for entry-level learners seeking foundational concepts and basic patterns.

📝 Worksheet 4 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:

Tackle exam-style square series questions with confidence
Learn time-saving tricks for cube series problems
Practice entry level practice techniques for better scores
Identify and avoid common mistakes in fibonacci patterns
Build exam temperament through cube series practice

Your progress through Number Series

Worksheet 4 of 30 (13% complete)

Question 1

Find the next term in the series: 8, 24, 72, 216, ?

This is a geometric series with common ratio 3. Next term = 216 × 3 = 648

geometric, progression

Question 2

Find the next term in the series: 12, 16, 22, 30, 40, 52, ?

The differences between terms increase by 2 each time. Last difference was 12, next difference is 14, so next term = 52 + 14 = 66

difference, pattern

Question 3

Find the next term in the series: 13, 15, 30, 32, 64, 66, 132, ?

Alternating series: +2, ×2. Next operation gives 134

alternating, operations

Question 4

Find the next term in the series: 3, 9, 27, 81, ?

This is a geometric series with common ratio 3. Next term = 81 × 3 = 243

geometric, progression

Question 5

Find the next term in the series: 2, 11, 1334, ?

Each term follows: (previous term)^3 + 3. Next term = 1334^3 + 3 = 2373927707

multiplication, addition

Question 6

Find the next term in the series: 6, 9, 15, 24, 36, ?

The differences between terms increase by 3 each time. Last difference was 12, next difference is 15, so next term = 36 + 15 = 51

difference, pattern

Question 7

Find the next term in the series: 9, 28, 65, 126, 217, ?

This is a series of consecutive perfect cubes plus 1: (2³+1), (3³+1)... Next term = 7³ + 1 = 344

perfect, cubes

Question 8

Find the next term in the series: 6, 13, 10, 39, 14, 117, 18, 351, ?

Alternating series: First: +4, Second: ×3. Next follows second pattern: 18 × 3 = 54

alternating, arithmetic

Question 9

Find the next term in the series: 6, 24, 11, 27, 16, 30, 21, 33, ?

Two alternating arithmetic series: First: +5, Second: +3. Next follows second pattern: 21 + 3 = 24

alternating, arithmetic

Question 10

Find the next term in the series: 5, 6, 9, 14, 21, ?

The differences between terms increase by 2 each time. Last difference was 7, next difference is 9, so next term = 21 + 9 = 30

difference, pattern

Question 11

Find the next term in the series: 4/3, 4/4, 4/5, 4/6, ?

The denominator increases by 1 each time while numerator remains 4. Next term = 4/7

fraction, pattern

Question 12

Find the next term in the series: 89, 97, 101, 103, 107, ?

This is a series of consecutive prime numbers. The next prime after 107 is 109

prime, numbers

Question 13

Find the next term in the series: 27, 81, 243, 729, 2187, ?

This is an exponential series with base 3: 3^3, 3^4, 3^5... Next term = 3^8 = 6561

exponential, growth

Question 14

Find the next term in the series: 71, 73, 79, 83, 89, ?

This is a series of consecutive prime numbers. The next prime after 89 is 97

prime, numbers

Question 15

Find the next term in the series: 11, 22, 7, 14, 4, ?

Alternating series: multiply by 2, divide by 3. Next operation gives 8

alternating, operations

Question 16

Find the next term in the series: 20, 27, 34, 41, 48, ?

This is an arithmetic series with common difference 7. Next term = 48 + 7 = 55

arithmetic, progression

Question 17

Find the next term in the series: 4, 7, 12, 19, ?

This is a series of consecutive perfect squares plus 3: (1²+3), (2²+3)... Next term = 5² + 3 = 28

perfect, squares

Question 18

Find the next term in the series: 137, 139, 149, 151, 157, ?

This is a series of consecutive prime numbers. The next prime after 157 is 163

prime, numbers

Question 19

Find the next term in the series: 17, 20, 23, 26, ?

This is an arithmetic series with common difference 3. Next term = 26 + 3 = 29

arithmetic, progression

Question 20

Find the next term in the series: 5, 6, 10, 17, 27, 40, ?

The differences between terms increase by 3 each time. Last difference was 13, next difference is 16, so next term = 40 + 16 = 56

difference, pattern

📈 Building expertise: Worksheet 4 of 30 in Number Series.

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