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Number Series - Intermediate Level: factorial series INTERMEDIATE

Level up your number series skills with this comprehensive review. 20 intermediate-level problems await in Worksheet 14 of 30. Focus area: factorial series. Learn prime series, alternate patterns, difference patterns through systematic practice. Designed for mid-level learners seeking moderate complexity with mixed patterns.

📝 Worksheet 14 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 14 of 30 (46% complete)

Question 1

Find the next term in the series: 4, 11, 25, 53, ?
Each term follows: (previous term × 2) + 3. Next term = (53 × 2) + 3 = 109
multiplication, addition

Question 2

Find the next term in the series: 2, 6, 18, 54, 162, ?
This is a geometric series with common ratio 3. Next term = 162 × 3 = 486
geometric, progression

Question 3

Find the next term in the series: 3/6, 3/7, 3/8, 3/9, ?
The denominator increases by 1 each time while numerator remains 3. Next term = 3/10
fraction, pattern

Question 4

Find the next term in the series: 16, 18, 20, 22, ?
This is an arithmetic series with common difference 2. Next term = 22 + 2 = 24
arithmetic, progression

Question 5

Find the next term in the series: 97, 101, 103, 107, 109, ?
This is a series of consecutive prime numbers. The next prime after 109 is 113
prime, numbers

Question 6

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
exponential, growth

Question 7

Find the next term in the series: 8, 13, 18, 23, 28, ?
This is an arithmetic series with common difference 5. Next term = 28 + 5 = 33
arithmetic, progression

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
factorial, growth

Question 9

Find the next term in the series: 5, 10, 20, 40, 80, ?
This is a geometric series with common ratio 2. Next term = 80 × 2 = 160
geometric, progression

Question 10

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

Question 11

Find the next term in the series: 41, 43, 47, 53, 59, 61, ?
This is a series of consecutive prime numbers. The next prime after 61 is 67
prime, numbers

Question 12

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
perfect, cubes

Question 13

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 14

Find the next term in the series: 292, 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 15

Find the next term in the series: 151, 157, 163, 167, 173, 179, ?
This is a series of consecutive prime numbers. The next prime after 179 is 181
prime, numbers

Question 16

Find the next term in the series: 2, 6, 4, 18, 8, 54, 16, 162, ?
Two alternating geometric series: First: ×2, Second: ×3. Next follows second pattern: 16 × 3 = 48
alternating, arithmetic

Question 17

Find the next term in the series: 17, 21, 25, 29, ?
This is an arithmetic series with common difference 4. Next term = 29 + 4 = 33
arithmetic, progression

Question 18

Find the next term in the series: 131, 137, 139, 149, ?
This is a series of consecutive prime numbers. The next prime after 149 is 151
prime, numbers

Question 19

Find the next term in the series: 8, 27, 64, 125, ?
This is a series of consecutive perfect cubes: 2³, 3³, 4³... Next term = 6³ = 216
perfect, cubes

Question 20

Find the next term in the series: 36, 49, 64, 81, ?
This is a series of consecutive perfect squares: 6², 7², 8²... Next term = 10² = 100
perfect, squares
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