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Number Series - Beginner Level: square series BEGINNER

Exam-focused quick revision round worksheet: 20 beginner-level number series questions. Worksheet 3 of 30 targets square series. Build proficiency in geometric progression, square series, cube series with detailed solutions. Ideal for entry-level competitive exam preparation.

📝 Worksheet 3 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 3 of 30 (10% complete)

Question 1

Find the next term in the series: 5, 12, 33, 96, ?
Each term follows: (previous term × 3) - 3. Next term = (96 × 3) - 3 = 285
multiplication, addition

Question 2

Find the next term in the series: 8, 14, 11, 28, 14, 56, 17, 112, ?
Alternating series: First: +3, Second: ×2. Next follows second pattern: 17 × 2 = 34
alternating, arithmetic

Question 3

Find the next term in the series: 14, 15, 18, 23, 30, 39, ?
The differences between terms increase by 2 each time. Last difference was 9, next difference is 11, so next term = 39 + 11 = 50
difference, pattern

Question 4

Find the next term in the series: 3, -1, -5, -9, -13, -17, ?
This is an arithmetic series with common difference -4. Next term = -17 + -4 = -21
arithmetic, progression

Question 5

Find the next term in the series: 9, 27, 81, 243, ?
This is an exponential series with base 3: 3^2, 3^3, 3^4... Next term = 3^6 = 729
exponential, growth

Question 6

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 7

Find the next term in the series: 3, 7, 15, 31, 63, 127, ?
Each term follows: (previous term × 2) + 1. Next term = (127 × 2) + 1 = 255
multiplication, addition

Question 8

Find the next term in the series: 333, 343, 353, 363, 373, 383, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 383 is 393
palindrome, numbers

Question 9

Find the next term in the series: 10, 29, 66, 127, ?
This is a series of consecutive perfect cubes plus 2: (2³+2), (3³+2)... Next term = 6³ + 2 = 218
perfect, cubes

Question 10

Find the next term in the series: 8, 13, 20, 29, 40, 53, ?
This is a series of consecutive perfect squares plus 4: (2²+4), (3²+4)... Next term = 8² + 4 = 68
perfect, squares

Question 11

Find the next term in the series: 19, 38, 19, 38, 19, ?
Alternating series: multiply by 2, divide by 2. Next operation gives 38
alternating, operations

Question 12

Find the next term in the series: 5, 7, 9, 11, 13, 15, ?
This is an arithmetic series with common difference 2. Next term = 15 + 2 = 17
arithmetic, progression

Question 13

Find the next term in the series: 5, 8, 12, 17, 23, 30, ?
The differences between terms increase by 1 each time. Last difference was 7, next difference is 8, so next term = 30 + 8 = 38
difference, pattern

Question 14

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 15

Find the next term in the series: 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 16

Find the next term in the series: 3, 9, 27, 81, ?
This is an exponential series with base 3: 3^1, 3^2, 3^3... Next term = 3^5 = 243
exponential, growth

Question 17

Find the next term in the series: 10, 21, 14, 25, 18, 29, 22, 33, ?
Two alternating arithmetic series: First: +4, Second: +4. Next follows second pattern: 22 + 4 = 26
alternating, arithmetic

Question 18

Find the next term in the series: 8, 16, 32, 64, ?
This is an exponential series with base 2: 2^3, 2^4, 2^5... Next term = 2^7 = 128
exponential, growth

Question 19

Find the next term in the series: 13, 26, 8, 16, 5, 10, ?
Alternating series: multiply by 2, divide by 3. Next operation gives 3
alternating, operations

Question 20

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
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