Number Series - Beginner Level: arithmetic progression BEGINNER

This foundation builder 🌟 worksheet contains 20 beginner-level number series problems. Worksheet 1 of 30 focuses on arithmetic progression. Practice number sequences, arithmetic progression, geometric progression with our step-by-step solutions. Difficulty: foundational concepts and basic patterns. Recommended for entry-level learners.

📝 Worksheet 1 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:

Master number sequences through focused arithmetic progression practice
Learn arithmetic progression with beginner-level examples
Build speed in solving number series using foundation builder 🌟 techniques
Understand common patterns in geometric progression
Apply logical thinking to arithmetic progression scenarios

Your progress through Number Series

Worksheet 1 of 30 (3% complete)

Question 1

Find the next term in the series: 1/6, 1/7, 1/8, 1/9, 1/10, 1/11, ?

The denominator increases by 1 each time while numerator remains 1. Next term = 1/12

fraction, pattern

Question 2

Find the next term in the series: 2, 7, 6, 28, 18, 112, 54, 448, ?

Two alternating geometric series: First: ×3, Second: ×4. Next follows second pattern: 54 × 4 = 216

alternating, arithmetic

Question 3

Find the next term in the series: 64, 256, 1024, 4096, 16384, 65536, ?

This is an exponential series with base 4: 4^3, 4^4, 4^5... Next term = 4^9 = 262144

exponential, growth

Question 4

Find the next term in the series: 4, 6, 12, 12, 36, 24, 108, 48, ?

Two alternating geometric series: First: ×3, Second: ×2. Next follows second pattern: 108 × 2 = 216

alternating, arithmetic

Question 5

Find the next term in the series: 5, 13, 29, 61, 125, ?

Each term follows: (previous term × 2) + 3. Next term = (125 × 2) + 3 = 253

multiplication, addition

Question 6

Find the next term in the series: 14, 16, 21, 29, 40, ?

The differences between terms increase by 3 each time. Last difference was 11, next difference is 14, so next term = 40 + 14 = 54

difference, pattern

Question 7

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 8

Find the next term in the series: 7, 14, 9, 28, 11, 56, 13, 112, ?

Alternating series: First: +2, Second: ×2. Next follows second pattern: 13 × 2 = 26

alternating, arithmetic

Question 9

Find the next term in the series: 1/5, 1/6, 1/7, 1/8, 1/9, ?

The denominator increases by 1 each time while numerator remains 1. Next term = 1/10

fraction, pattern

Question 10

Find the next term in the series: 0, 7, 26, 63, 124, ?

This is a series of consecutive perfect cubes minus 1: (1³-1), (2³-1)... Next term = 6³ - 1 = 215

perfect, cubes

Question 11

Find the next term in the series: 151, 161, 171, 181, 191, ?

This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 191 is 202

palindrome, numbers

Question 12

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 13

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 14

Find the next term in the series: 20, 25, 30, 35, 40, 45, ?

This is an arithmetic series with common difference 5. Next term = 45 + 5 = 50

arithmetic, progression

Question 15

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 16

Find the next term in the series: 15, 17, 20, 24, 29, ?

The differences between terms increase by 1 each time. Last difference was 5, next difference is 6, so next term = 29 + 6 = 35

difference, pattern

Question 17

Find the next term in the series: 9, 13, 19, 27, 37, 49, ?

The differences between terms increase by 2 each time. Last difference was 12, next difference is 14, so next term = 49 + 14 = 63

difference, pattern

Question 18

Find the next term in the series: 2/3, 3/4, 4/5, 5/6, 6/7, 7/8, ?

Both numerator and denominator increase by 1 each time. Next term = 8/9

fraction, pattern

Question 19

Find the next term in the series: 15, 18, 22, 27, 33, 40, ?

The differences between terms increase by 1 each time. Last difference was 7, next difference is 8, so next term = 40 + 8 = 48

difference, pattern

Question 20

Find the next term in the series: 12, 21, 32, 45, 60, 77, ?

This is a series of consecutive perfect squares minus 4: (4²-4), (5²-4)... Next term = 10² - 4 = 96

perfect, squares

🚀 Begin your Number Series mastery with this introductory worksheet!

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