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Number Series - Intermediate Level: special number patterns INTERMEDIATE

Boost your speed and accuracy with this adaptive style 📈 worksheet. Worksheet 15 of 30 presents 20 intermediate-level number series problems. Focus on special number patterns while practicing number sequences, arithmetic progression, geometric progression. Difficulty: moderate complexity with mixed patterns. Perfect for mid-level test takers.

📝 Worksheet 15 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 15 of 30 (50% complete)

Question 1

Find the next term in the series: 14, 17, 22, 29, 38, 49, ?
The differences between terms increase by 2 each time. Last difference was 11, next difference is 13, so next term = 49 + 13 = 62
difference, pattern

Question 2

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 3

Find the next term in the series: 2, 9, 11, 20, 31, 51, ?
Each term is the sum of the previous two terms. Next term = 51 + 31 = 82
fibonacci, recursive

Question 4

Find the next term in the series: 2, 9, 11, 20, 31, 51, 82, ?
Each term is the sum of the previous two terms. Next term = 82 + 51 = 133
fibonacci, recursive

Question 5

Find the next term in the series: 21, 30, 41, 54, ?
This is a series of consecutive perfect squares plus 5: (4²+5), (5²+5)... Next term = 8² + 5 = 69
perfect, squares

Question 6

Find the next term in the series: 3, 6, 11, 18, 27, ?
This is a series of consecutive perfect squares plus 2: (1²+2), (2²+2)... Next term = 6² + 2 = 38
perfect, squares

Question 7

Find the next term in the series: 12, 14, 16, 18, 20, ?
This is an arithmetic series with common difference 2. Next term = 20 + 2 = 22
arithmetic, progression

Question 8

Find the next term in the series: 4, 6, 10, 16, 26, 42, 68, ?
Each term is the sum of the previous two terms. Next term = 68 + 42 = 110
fibonacci, recursive

Question 9

Find the next term in the series: 11, 18, 27, 38, ?
This is a series of consecutive perfect squares plus 2: (3²+2), (4²+2)... Next term = 7² + 2 = 51
perfect, squares

Question 10

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 11

Find the next term in the series: 3, 4, 9, 12, 27, 36, 81, 108, ?
Two alternating geometric series: First: ×3, Second: ×3. Next follows second pattern: 81 × 3 = 243
alternating, arithmetic

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: 14, 19, 24, 29, ?
This is an arithmetic series with common difference 5. Next term = 29 + 5 = 34
arithmetic, progression

Question 14

Find the next term in the series: 12, 15, 18, 21, 24, ?
This is an arithmetic series with common difference 3. Next term = 24 + 3 = 27
arithmetic, progression

Question 15

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 16

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

Question 17

Find the next term in the series: 1.5, 3.75, 6, 8.25, 10.5, ?
This is an arithmetic series with common difference 2.25. Next term = 10.5 + 2.25 = 12.75
arithmetic, progression

Question 18

Find the next term in the series: 0, 7, 26, 63, ?
This is a series of consecutive perfect cubes minus 1: (1³-1), (2³-1)... Next term = 5³ - 1 = 124
perfect, cubes

Question 19

Find the next term in the series: 3, 3, 3, 9, 15, 27, 51, ?
This is a Tribonacci series where each term is the sum of the previous three terms. Next term = 51 + 27 + 15 = 93
fibonacci, recursive

Question 20

Find the next term in the series: 1, 8, 9, 17, 26, ?
Each term is the sum of the previous two terms. Next term = 26 + 17 = 43
fibonacci, recursive
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