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Number Series - Beginner-Intermediate Level: ratio sequences BEGINNER-INTERMEDIATE

Strategic fast track practice for number series: 20 beginner-intermediate-level problems. Worksheet 9 of 30 - Focus: ratio sequences. Develop expertise in arithmetic progression, geometric progression, square series with step-by-step solutions. Ideal for developing learners targeting building on fundamentals with moderate challenges.

📝 Worksheet 9 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 9 of 30 (30% complete)

Question 1

Find the next term in the series: 27, 81, 243, 729, ?
This is an exponential series with base 3: 3^3, 3^4, 3^5... Next term = 3^7 = 2187
exponential, growth

Question 2

Find the next term in the series: 3, 6, 9, 12, 27, 24, 81, 48, ?
Two alternating geometric series: First: ×3, Second: ×2. Next follows second pattern: 81 × 2 = 162
alternating, arithmetic

Question 3

Find the next term in the series: 113, 127, 131, 137, 139, ?
This is a series of consecutive prime numbers. The next prime after 139 is 149
prime, numbers

Question 4

Find the next term in the series: 59, 61, 67, 71, ?
This is a series of consecutive prime numbers. The next prime after 71 is 73
prime, numbers

Question 5

Find the next term in the series: 2/4, 3/5, 4/6, 5/7, ?
Both numerator and denominator increase by 1 each time. Next term = 6/8
fraction, pattern

Question 6

Find the next term in the series: 9, 14, 12, 28, 15, 56, 18, 112, ?
Alternating series: First: +3, Second: ×2. Next follows second pattern: 18 × 2 = 36
alternating, arithmetic

Question 7

Find the next term in the series: 4, 20, 9, 23, 14, 26, 19, 29, ?
Two alternating arithmetic series: First: +5, Second: +3. Next follows second pattern: 19 + 3 = 22
alternating, arithmetic

Question 8

Find the next term in the series: 41, 43, 47, 53, ?
This is a series of consecutive prime numbers. The next prime after 53 is 59
prime, numbers

Question 9

Find the next term in the series: 5, 18, 57, 174, 525, 1578, ?
Each term follows: (previous term × 3) + 3. Next term = (1578 × 3) + 3 = 4737
multiplication, addition

Question 10

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 11

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 12

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 13

Find the next term in the series: 222, 232, 242, 252, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 252 is 262
palindrome, numbers

Question 14

Find the next term in the series: 19, 22, 25, 28, ?
This is an arithmetic series with common difference 3. Next term = 28 + 3 = 31
arithmetic, progression

Question 15

Find the next term in the series: 109, 113, 127, 131, 137, ?
This is a series of consecutive prime numbers. The next prime after 137 is 139
prime, numbers

Question 16

Find the next term in the series: 101, 103, 107, 109, 113, 127, ?
This is a series of consecutive prime numbers. The next prime after 127 is 131
prime, numbers

Question 17

Find the next term in the series: 66, 127, 218, 345, 514, ?
This is a series of consecutive perfect cubes plus 2: (4³+2), (5³+2)... Next term = 9³ + 2 = 731
perfect, cubes

Question 18

Find the next term in the series: 61, 67, 71, 73, 79, 83, ?
This is a series of consecutive prime numbers. The next prime after 83 is 89
prime, numbers

Question 19

Find the next term in the series: 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: 12, 17.5, 23, 28.5, ?
This is an arithmetic series with common difference 5.5. Next term = 28.5 + 5.5 = 34
arithmetic, progression
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