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

Intensive strategic solving 🎯 drill: 20 intermediate-advanced-level number series questions. Worksheet 20 of 30 hones your fibonacci patterns abilities. Practice fibonacci patterns, prime series, alternate patterns under timed conditions. Best for advanced developing students seeking advanced concepts with increasing complexity.

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

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 20 of 30 (66% complete)

Question 1

Find the next term in the series: 5, 7, 10, 14, 20, 28, 40, 56, ?
Two alternating geometric series: First: ×2, Second: ×2. Next follows second pattern: 40 × 2 = 80
alternating, arithmetic

Question 2

Find the next term in the series: 171, 181, 191, 202, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 202 is 212
palindrome, numbers

Question 3

Find the next term in the series: 6, 24, 120, 720, 5040, ?
This is a factorial series: 3!, 4!, 5!... Next term = 8! = 40320
factorial, growth

Question 4

Find the next term in the series: 1, 8, 27, 64, ?
This is a series of consecutive perfect cubes: 1³, 2³, 3³... Next term = 5³ = 125
perfect, cubes

Question 5

Find the next term in the series: 5, 8, 13, 21, 34, 55, ?
Each term is the sum of the previous two terms. Next term = 55 + 34 = 89
fibonacci, recursive

Question 6

Find the next term in the series: 121, 131, 141, 151, 161, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 161 is 171
palindrome, numbers

Question 7

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 8

Find the next term in the series: 282, 292, 303, 313, 323, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 323 is 333
palindrome, numbers

Question 9

Find the next term in the series: 18, 13, 8, 3, ?
This is an arithmetic series with common difference -5. Next term = 3 + -5 = -2
arithmetic, progression

Question 10

Find the next term in the series: 3, 5, 6, 10, 12, 20, 24, 40, ?
Two alternating geometric series: First: ×2, Second: ×2. Next follows second pattern: 24 × 2 = 48
alternating, arithmetic

Question 11

Find the next term in the series: 8, 13, 20, 29, ?
This is a series of consecutive perfect squares plus 4: (2²+4), (3²+4)... Next term = 6² + 4 = 40
perfect, squares

Question 12

Find the next term in the series: 8, 9, 12, 17, 24, 33, ?
The differences between terms increase by 2 each time. Last difference was 9, next difference is 11, so next term = 33 + 11 = 44
difference, pattern

Question 13

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 14

Find the next term in the series: 9, 11, 15, 21, 29, 39, ?
The differences between terms increase by 2 each time. Last difference was 10, next difference is 12, so next term = 39 + 12 = 51
difference, pattern

Question 15

Find the next term in the series: 9, 12, 12, 36, 15, 108, 18, 324, ?
Alternating series: First: +3, Second: ×3. Next follows second pattern: 18 × 3 = 54
alternating, arithmetic

Question 16

Find the next term in the series: 3, 5, 8, 16, 29, 53, 98, ?
This is a Tribonacci series where each term is the sum of the previous three terms. Next term = 98 + 53 + 29 = 180
fibonacci, recursive

Question 17

Find the next term in the series: 11.5, 16.75, 22, 27.25, ?
This is an arithmetic series with common difference 5.25. Next term = 27.25 + 5.25 = 32.5
arithmetic, progression

Question 18

Find the next term in the series: 4, 6, 12, 24, 36, 96, 108, 384, ?
Two alternating geometric series: First: ×3, Second: ×4. Next follows second pattern: 108 × 4 = 432
alternating, arithmetic

Question 19

Find the next term in the series: 252, 262, 272, 282, 292, 303, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 303 is 313
palindrome, numbers

Question 20

Find the next term in the series: 13, 17, 19, 23, 29, ?
This is a series of consecutive prime numbers. The next prime after 29 is 31
prime, numbers
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