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Number Series - Intermediate Level: square series INTERMEDIATE

Comprehensive weakness targeting worksheet covering 20 intermediate-level number series problems. Worksheet 18 of 30 emphasizes square series. Master square series, cube series, fibonacci patterns through detailed explanations. Difficulty: moderate complexity with mixed patterns. Tailored for mid-level preparation.

📝 Worksheet 18 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 18 of 30 (60% complete)

Question 1

Find the next term in the series: 25, 36, 49, 64, 81, 100, ?
This is a series of consecutive perfect squares: 5², 6², 7²... Next term = 11² = 121
perfect, squares

Question 2

Find the next term in the series: 5, 7, 12, 19, 31, ?
Each term is the sum of the previous two terms. Next term = 31 + 19 = 50
fibonacci, recursive

Question 3

Find the next term in the series: 12, 4, -4, -12, -20, ?
This is an arithmetic series with common difference -8. Next term = -20 + -8 = -28
arithmetic, progression

Question 4

Find the next term in the series: 1/5, 1/6, 1/7, 1/8, 1/9, 1/10, ?
The denominator increases by 1 each time while numerator remains 1. Next term = 1/11
fraction, pattern

Question 5

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 6

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 7

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 8

Find the next term in the series: 103, 107, 109, 113, 127, 131, ?
This is a series of consecutive prime numbers. The next prime after 131 is 137
prime, numbers

Question 9

Find the next term in the series: 8, 18, 38, 78, 158, 318, ?
Each term follows: (previous term × 2) + 2. Next term = (318 × 2) + 2 = 638
multiplication, addition

Question 10

Find the next term in the series: 8, 12, 19, 29, 42, ?
The differences between terms increase by 3 each time. Last difference was 13, next difference is 16, so next term = 42 + 16 = 58
difference, pattern

Question 11

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

Question 12

Find the next term in the series: 7, 13, 25, 49, 97, 193, ?
Each term follows: (previous term × 2) - 1. Next term = (193 × 2) - 1 = 385
multiplication, addition

Question 13

Find the next term in the series: 17, 51, 17, 51, 17, ?
Alternating series: multiply by 3, divide by 3. Next operation gives 51
alternating, operations

Question 14

Find the next term in the series: 6, 9, 13.5, 20.25, ?
This is a geometric series with common ratio 1.5. Next term = 20.25 × 1.5 = 30.38
geometric, 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: 8, 16, 32, 64, 128, ?
This is a geometric series with common ratio 2. Next term = 128 × 2 = 256
geometric, progression

Question 17

Find the next term in the series: 5, 5, 10, 10, 20, 20, 40, 40, ?
Two alternating geometric series: First: ×2, Second: ×2. Next follows second pattern: 40 × 2 = 80
alternating, arithmetic

Question 18

Find the next term in the series: 8, 15, 22, 29, ?
This is an arithmetic series with common difference 7. Next term = 29 + 7 = 36
arithmetic, progression

Question 19

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 20

Find the next term in the series: 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
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