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Number Series - Beginner-Intermediate Level: alternate patterns BEGINNER-INTERMEDIATE

Quick intensive drill ★ session: 20 beginner-intermediate-level number series questions. Worksheet 7 of 30 - Focus: alternate patterns. Practice prime series, alternate patterns, difference patterns with instant feedback. Great for developing students needing building on fundamentals with moderate challenges practice.

📝 Worksheet 7 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 7 of 30 (23% complete)

Question 1

Find the next term in the series: 13, 15, 18, 22, 27, ?
The differences between terms increase by 1 each time. Last difference was 5, next difference is 6, so next term = 27 + 6 = 33
difference, pattern

Question 2

Find the next term in the series: 3, 9, 27, 81, 243, ?
This is a geometric series with common ratio 3. Next term = 243 × 3 = 729
geometric, progression

Question 3

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 4

Find the next term in the series: 1/5, 2/6, 3/7, 4/8, 5/9, 6/10, ?
Both numerator and denominator increase by 1 each time. Next term = 7/11
fraction, pattern

Question 5

Find the next term in the series: 4, 8, 16, 32, 64, ?
This is an exponential series with base 2: 2^2, 2^3, 2^4... Next term = 2^7 = 128
exponential, growth

Question 6

Find the next term in the series: 10, 18, 15, 22, 20, 26, 25, 30, ?
Two alternating arithmetic series: First: +5, Second: +4. Next follows second pattern: 25 + 4 = 29
alternating, arithmetic

Question 7

Find the next term in the series: 15, 19, 26, 36, 49, ?
The differences between terms increase by 3 each time. Last difference was 13, next difference is 16, so next term = 49 + 16 = 65
difference, pattern

Question 8

Find the next term in the series: 4, 16, 64, 256, 1024, ?
This is a geometric series with common ratio 4. Next term = 1024 × 4 = 4096
geometric, progression

Question 9

Find the next term in the series: 4, 8, 16, 32, 64, ?
This is a geometric series with common ratio 2. Next term = 64 × 2 = 128
geometric, progression

Question 10

Find the next term in the series: -1, 6, 25, 62, 123, ?
This is a series of consecutive perfect cubes minus 2: (1³-2), (2³-2)... Next term = 6³ - 2 = 214
perfect, cubes

Question 11

Find the next term in the series: 3, 6, 12, 24, 48, ?
This is a geometric series with common ratio 2. Next term = 48 × 2 = 96
geometric, progression

Question 12

Find the next term in the series: 4, 6, 4, 14, 24, 42, 80, ?
This is a Tribonacci series where each term is the sum of the previous three terms. Next term = 80 + 42 + 24 = 146
fibonacci, recursive

Question 13

Find the next term in the series: 5, 9, 14, 23, 37, ?
Each term is the sum of the previous two terms. Next term = 37 + 23 = 60
fibonacci, recursive

Question 14

Find the next term in the series: 4, 16, 64, 256, 1024, 4096, ?
This is an exponential series with base 4: 4^1, 4^2, 4^3... Next term = 4^7 = 16384
exponential, growth

Question 15

Find the next term in the series: 11, 13, 17, 19, 23, ?
This is a series of consecutive prime numbers. The next prime after 23 is 29
prime, numbers

Question 16

Find the next term in the series: 2, 4, 8, 16, ?
This is a geometric series with common ratio 2. Next term = 16 × 2 = 32
geometric, progression

Question 17

Find the next term in the series: 9, 7, 9, 7, 9, 7, 9, ?
Alternating series: -2, +2. Next operation gives 7
alternating, operations

Question 18

Find the next term in the series: 12, 15, 5, 8, 2, ?
Alternating series: +3, ÷3. Next operation gives 5
alternating, operations

Question 19

Find the next term in the series: 15, 29, 57, 113, 225, 449, ?
Each term follows: (previous term × 2) - 1. Next term = (449 × 2) - 1 = 897
multiplication, addition

Question 20

Find the next term in the series: 11, 14, 28, 31, 62, ?
Alternating series: +3, ×2. Next operation gives 65
alternating, operations
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