Number Series - Intermediate-Advanced Level: alternate patterns INTERMEDIATE-ADVANCED

Ready to master number series? This time-bound test features 20 intermediate-advanced-level challenges. Worksheet 22 of 30 sharpens your alternate patterns skills. Master number sequences, arithmetic progression, geometric progression through guided practice. Perfect for advanced developing test preparation.

📝 Worksheet 22 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:

Start with number sequences fundamentals and build up
Progress to advanced arithmetic progression problem-solving
Challenge yourself with time-bound test scenarios
Deepen understanding of geometric progression concepts
Complete the alternate patterns mastery track

Your progress through Number Series

Worksheet 22 of 30 (73% complete)

Question 1

Find the next term in the series: 27, 81, 243, 729, 2187, 6561, ?

This is an exponential series with base 3: 3^3, 3^4, 3^5... Next term = 3^9 = 19683

exponential, growth

Question 2

Find the next term in the series: 2, 10, 34, 106, 322, ?

Each term follows: (previous term × 3) + 4. Next term = (322 × 3) + 4 = 970

multiplication, addition

Question 3

Find the next term in the series: 1, 4, 9, 16, ?

This is a series of consecutive perfect squares: 1², 2², 3²... Next term = 5² = 25

perfect, squares

Question 4

Find the next term in the series: 13, 39, 19, 57, 28, 84, ?

Alternating series: multiply by 3, divide by 2. Next operation gives 42

alternating, operations

Question 5

Find the next term in the series: 14, 18, 25, 35, 48, 64, ?

The differences between terms increase by 3 each time. Last difference was 16, next difference is 19, so next term = 64 + 19 = 83

difference, pattern

Question 6

Find the next term in the series: 44, 55, 66, 77, ?

This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 77 is 88

palindrome, numbers

Question 7

Find the next term in the series: 8, 12, 20, 36, 68, 132, ?

Each term follows: (previous term × 2) - 4. Next term = (132 × 2) - 4 = 260

multiplication, addition

Question 8

Find the next term in the series: 13, 15, 19, 25, 33, 43, ?

The differences between terms increase by 2 each time. Last difference was 10, next difference is 12, so next term = 43 + 12 = 55

difference, pattern

Question 9

Find the next term in the series: 64, 125, 216, 343, ?

This is a series of consecutive perfect cubes: 4³, 5³, 6³... Next term = 8³ = 512

perfect, cubes

Question 10

Find the next term in the series: 2/4, 2/5, 2/6, 2/7, 2/8, 2/9, ?

The denominator increases by 1 each time while numerator remains 2. Next term = 2/10

fraction, pattern

Question 11

Find the next term in the series: 3, 9, 12, 21, 33, 54, ?

Each term is the sum of the previous two terms. Next term = 54 + 33 = 87

fibonacci, recursive

Question 12

Find the next term in the series: 7, 10.5, 15.75, 23.62, 35.44, ?

This is a geometric series with common ratio 1.5. Next term = 35.44 × 1.5 = 53.16

geometric, progression

Question 13

Find the next term in the series: 4, 3, 3, 10, 16, ?

This is a Tribonacci series where each term is the sum of the previous three terms. Next term = 16 + 10 + 3 = 29

fibonacci, recursive

Question 14

Find the next term in the series: 262, 272, 282, 292, 303, 313, ?

This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 313 is 323

palindrome, numbers

Question 15

Find the next term in the series: 4, 8, 16, 32, ?

This is an exponential series with base 2: 2^2, 2^3, 2^4... Next term = 2^6 = 64

exponential, growth

Question 16

Find the next term in the series: 5, 4, 10, 12, 20, 36, 40, 108, ?

Two alternating geometric series: First: ×2, Second: ×3. Next follows second pattern: 40 × 3 = 120

alternating, arithmetic

Question 17

Find the next term in the series: 1, 2, 6, 24, 120, ?

This is a factorial series: 1!, 2!, 3!... Next term = 6! = 720

factorial, growth

Question 18

Find the next term in the series: 2, 10, 12, 22, 34, 56, ?

Each term is the sum of the previous two terms. Next term = 56 + 34 = 90

fibonacci, recursive

Question 19

Find the next term in the series: 5, 6, 8, 12, 20, ?

Each term follows: (previous term × 2) - 4. Next term = (20 × 2) - 4 = 36

multiplication, addition

Question 20

Find the next term in the series: 113, 127, 131, 137, ?

This is a series of consecutive prime numbers. The next prime after 137 is 139

prime, numbers

🌟 Impressive dedication! 72% of Number Series mastered.

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