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Number Series - Intermediate-Advanced Level: prime series INTERMEDIATE-ADVANCED

This fundamentals focus worksheet contains 20 intermediate-advanced-level number series problems. Worksheet 21 of 30 focuses on prime series. Practice prime series, alternate patterns, difference patterns with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.

📝 Worksheet 21 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 21 of 30 (70% complete)

Question 1

Find the next term in the series: 73, 79, 83, 89, 97, ?
This is a series of consecutive prime numbers. The next prime after 97 is 101
prime, numbers

Question 2

Find the next term in the series: 13, 16, 19, 22, ?
This is an arithmetic series with common difference 3. Next term = 22 + 3 = 25
arithmetic, progression

Question 3

Find the next term in the series: 17, 25, 33, 41, 49, 57, ?
This is an arithmetic series with common difference 8. Next term = 57 + 8 = 65
arithmetic, progression

Question 4

Find the next term in the series: 1, 2, 6, 24, ?
This is a factorial series: 1!, 2!, 3!... Next term = 5! = 120
factorial, growth

Question 5

Find the next term in the series: 14, 15, 19, 26, 36, ?
The differences between terms increase by 3 each time. Last difference was 10, next difference is 13, so next term = 36 + 13 = 49
difference, pattern

Question 6

Find the next term in the series: 16, 64, 256, 1024, 4096, ?
This is an exponential series with base 4: 4^2, 4^3, 4^4... Next term = 4^7 = 16384
exponential, growth

Question 7

Find the next term in the series: 6, 11, 8, 13, 10, 15, 12, ?
Alternating series: +5, -3. Next operation gives 17
alternating, operations

Question 8

Find the next term in the series: 20, 31, 44, 59, ?
This is a series of consecutive perfect squares minus 5: (5²-5), (6²-5)... Next term = 9² - 5 = 76
perfect, squares

Question 9

Find the next term in the series: 2, 8, 32, 128, 512, ?
This is a geometric series with common ratio 4. Next term = 512 × 4 = 2048
geometric, progression

Question 10

Find the next term in the series: 13, 20, 27, 34, ?
This is an arithmetic series with common difference 7. Next term = 34 + 7 = 41
arithmetic, progression

Question 11

Find the next term in the series: 4, 18, 326, 106278, 11295013286, ?
Each term follows: (previous term)^2 + 2. Next term = 11295013286^2 + 2 = 127577325130916517798
multiplication, addition

Question 12

Find the next term in the series: 16, 10, 4, -2, ?
This is an arithmetic series with common difference -6. Next term = -2 + -6 = -8
arithmetic, progression

Question 13

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 14

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

Question 15

Find the next term in the series: 2, 6, 24, 120, 720, ?
This is a factorial series: 2!, 3!, 4!... Next term = 7! = 5040
factorial, growth

Question 16

Find the next term in the series: 4, 8, 16, 32, 64, 128, ?
This is an exponential series with base 2: 2^2, 2^3, 2^4... Next term = 2^8 = 256
exponential, growth

Question 17

Find the next term in the series: 3, 5, 6, 15, 12, 45, 24, 135, ?
Two alternating geometric series: First: ×2, Second: ×3. Next follows second pattern: 24 × 3 = 72
alternating, arithmetic

Question 18

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 19

Find the next term in the series: 149, 151, 157, 163, ?
This is a series of consecutive prime numbers. The next prime after 163 is 167
prime, numbers

Question 20

Find the next term in the series: 3, 7, 6, 28, 12, 112, 24, 448, ?
Two alternating geometric series: First: ×2, Second: ×4. Next follows second pattern: 24 × 4 = 96
alternating, arithmetic
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