Question 1
Find the next term in the series: 6, 12, 24, 48, 96, ?
This is a geometric series with common ratio 2. Next term = 96 × 2 = 192
Number Series - Advanced Level: difference patterns ADVANCED
Exam-focused holistic practice ★ worksheet: 20 advanced-level number series questions. Worksheet 23 of 30 targets difference patterns. Build proficiency in arithmetic progression, geometric progression, square series with detailed solutions. Ideal for advanced competitive exam preparation.
What you'll learn in this worksheet:
- Start with arithmetic progression fundamentals and build up
- Progress to advanced geometric progression problem-solving
- Challenge yourself with holistic practice ★ scenarios
- Deepen understanding of square series concepts
- Complete the difference patterns mastery track
Your progress through Number Series
Worksheet 23 of 30 (76% complete)
Question 2
Find the next term in the series: 2, 4, 8, 16, 32, 64, ?
This is an exponential series with base 2: 2^1, 2^2, 2^3... Next term = 2^7 = 128
Question 3
Find the next term in the series: 2, 5, 8, 11, 14, 17, ?
This is an arithmetic series with common difference 3. Next term = 17 + 3 = 20
Question 4
Find the next term in the series: 1, 8, 27, 64, 125, ?
This is a series of consecutive perfect cubes: 1³, 2³, 3³... Next term = 6³ = 216
Question 5
Find the next term in the series: 1, 2, 6, 24, ?
This is a factorial series: 1!, 2!, 3!... Next term = 5! = 120
Question 6
Find the next term in the series: 16, 64, 256, 1024, 4096, 16384, ?
This is an exponential series with base 4: 4^2, 4^3, 4^4... Next term = 4^8 = 65536
Question 7
Find the next term in the series: 19, 23, 29, 31, 37, ?
This is a series of consecutive prime numbers. The next prime after 37 is 41
Question 8
Find the next term in the series: 2, 6, 24, 120, ?
This is a factorial series: 2!, 3!, 4!... Next term = 6! = 720
Question 9
Find the next term in the series: 1/8, 2/8, 3/8, 4/8, 5/8, ?
The numerators increase by 1 each time while denominator remains 8. Next term = 6/8
Question 10
Find the next term in the series: 3, 4, 6, 16, 12, 64, 24, 256, ?
Two alternating geometric series: First: ×2, Second: ×4. Next follows second pattern: 24 × 4 = 96
Question 11
Find the next term in the series: 64, 256, 1024, 4096, 16384, 65536, ?
This is an exponential series with base 4: 4^3, 4^4, 4^5... Next term = 4^9 = 262144
Question 12
Find the next term in the series: 11, 22, 33, 44, 55, 66, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 66 is 77
Question 13
Find the next term in the series: 8, 13, 18, 23, 28, 33, ?
This is an arithmetic series with common difference 5. Next term = 33 + 5 = 38
Question 14
Find the next term in the series: 27, 64, 125, 216, 343, ?
This is a series of consecutive perfect cubes: 3³, 4³, 5³... Next term = 8³ = 512
Question 15
Find the next term in the series: 1/3, 2/4, 3/5, 4/6, 5/7, 6/8, ?
Both numerator and denominator increase by 1 each time. Next term = 7/9
Question 16
Find the next term in the series: 22, 33, 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
Question 17
Find the next term in the series: 11, 12, 14, 17, 21, 26, ?
The differences between terms increase by 1 each time. Last difference was 5, next difference is 6, so next term = 26 + 6 = 32
Question 18
Find the next term in the series: 6, 8, 11, 15, 20, ?
The differences between terms increase by 1 each time. Last difference was 5, next difference is 6, so next term = 20 + 6 = 26
Question 19
Find the next term in the series: 25, 62, 123, 214, ?
This is a series of consecutive perfect cubes minus 2: (3³-2), (4³-2)... Next term = 7³ - 2 = 341
Question 20
Find the next term in the series: 10, 17, 31, 59, ?
Each term follows: (previous term × 2) - 3. Next term = (59 × 2) - 3 = 115
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