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Number Series - Advanced Level: ratio sequences ADVANCED

Level up your number series skills with this challenging mix. 20 advanced-level problems await in Worksheet 24 of 30. Focus area: ratio sequences. Learn geometric progression, square series, cube series through systematic practice. Designed for advanced learners seeking complex scenarios and multi-step problems.

📝 Worksheet 24 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 24 of 30 (80% complete)

Question 1

Find the next term in the series: 7, 13, 11, 39, 15, 117, 19, 351, ?
Alternating series: First: +4, Second: ×3. Next follows second pattern: 19 × 3 = 57
alternating, arithmetic

Question 2

Find the next term in the series: 303, 313, 323, 333, 343, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 343 is 353
palindrome, numbers

Question 3

Find the next term in the series: 5, 20, 80, 320, ?
This is a geometric series with common ratio 4. Next term = 320 × 4 = 1280
geometric, progression

Question 4

Find the next term in the series: 6, 24, 120, 720, ?
This is a factorial series: 3!, 4!, 5!... Next term = 7! = 5040
factorial, growth

Question 5

Find the next term in the series: 363, 373, 383, 393, 404, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 404 is 414
palindrome, numbers

Question 6

Find the next term in the series: 303, 313, 323, 333, 343, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 343 is 353
palindrome, numbers

Question 7

Find the next term in the series: 8, 3, -2, -7, ?
This is an arithmetic series with common difference -5. Next term = -7 + -5 = -12
arithmetic, progression

Question 8

Find the next term in the series: 3, 10, 13, 23, 36, 59, ?
Each term is the sum of the previous two terms. Next term = 59 + 36 = 95
fibonacci, recursive

Question 9

Find the next term in the series: 191, 202, 212, 222, 232, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 232 is 242
palindrome, numbers

Question 10

Find the next term in the series: 4/5, 4/6, 4/7, 4/8, ?
The denominator increases by 1 each time while numerator remains 4. Next term = 4/9
fraction, pattern

Question 11

Find the next term in the series: 4, 6, 12, 12, 36, 24, 108, 48, ?
Two alternating geometric series: First: ×3, Second: ×2. Next follows second pattern: 108 × 2 = 216
alternating, arithmetic

Question 12

Find the next term in the series: 4, 12, 36, 108, 324, ?
This is a geometric series with common ratio 3. Next term = 324 × 3 = 972
geometric, progression

Question 13

Find the next term in the series: 4, 5, 12, 15, 36, 45, 108, 135, ?
Two alternating geometric series: First: ×3, Second: ×3. Next follows second pattern: 108 × 3 = 324
alternating, arithmetic

Question 14

Find the next term in the series: 5, 10, 15, 25, 40, 65, ?
Each term is the sum of the previous two terms. Next term = 65 + 40 = 105
fibonacci, recursive

Question 15

Find the next term in the series: 5, 8, 13, 20, 29, ?
This is a series of consecutive perfect squares plus 4: (1²+4), (2²+4)... Next term = 6² + 4 = 40
perfect, squares

Question 16

Find the next term in the series: 2, 3, 6, 6, 18, 12, 54, 24, ?
Two alternating geometric series: First: ×3, Second: ×2. Next follows second pattern: 54 × 2 = 108
alternating, arithmetic

Question 17

Find the next term in the series: 15, 13, 26, 24, 48, 46, 92, ?
Alternating series: -2, ×2. Next operation gives 90
alternating, operations

Question 18

Find the next term in the series: 8, 11, 17, 26, 38, ?
The differences between terms increase by 3 each time. Last difference was 12, next difference is 15, so next term = 38 + 15 = 53
difference, pattern

Question 19

Find the next term in the series: 10, 11, 15, 22, 32, 45, ?
The differences between terms increase by 3 each time. Last difference was 13, next difference is 16, so next term = 45 + 16 = 61
difference, pattern

Question 20

Find the next term in the series: 3, 3, 7, 13, 23, 43, ?
This is a Tribonacci series where each term is the sum of the previous three terms. Next term = 43 + 23 + 13 = 79
fibonacci, recursive
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