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Number Series - Intermediate Level: geometric progression INTERMEDIATE

Quick mental agility ★ session: 20 intermediate-level number series questions. Worksheet 17 of 30 - Focus: geometric progression. Practice geometric progression, square series, cube series with instant feedback. Great for mid-level students needing moderate complexity with mixed patterns practice.

📝 Worksheet 17 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 17 of 30 (56% complete)

Question 1

Find the next term in the series: 20, 25, 30, 35, 40, ?
This is an arithmetic series with common difference 5. Next term = 40 + 5 = 45
arithmetic, progression

Question 2

Find the next term in the series: 12, 16, 23, 33, 46, 62, ?
The differences between terms increase by 3 each time. Last difference was 16, next difference is 19, so next term = 62 + 19 = 81
difference, pattern

Question 3

Find the next term in the series: 2, 9, 730, 389017001, 58871587162270593034051002, ?
Each term follows: (previous term)^3 + 1. Next term = 58871587162270593034051002^3 + 1 = 204040901322752673844230437877671861543858084850895762746141813554591014612009
multiplication, addition

Question 4

Find the next term in the series: 2, 6, 6, 24, 18, 96, 54, 384, ?
Two alternating geometric series: First: ×3, Second: ×4. Next follows second pattern: 54 × 4 = 216
alternating, arithmetic

Question 5

Find the next term in the series: 89, 97, 101, 103, 107, ?
This is a series of consecutive prime numbers. The next prime after 107 is 109
prime, numbers

Question 6

Find the next term in the series: 12, 24, 12, 24, 12, 24, 12, ?
Alternating series: multiply by 2, divide by 2. Next operation gives 24
alternating, operations

Question 7

Find the next term in the series: 20, 60, 30, 90, 45, 135, ?
Alternating series: multiply by 3, divide by 2. Next operation gives 67
alternating, operations

Question 8

Find the next term in the series: 88, 99, 101, 111, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 111 is 121
palindrome, numbers

Question 9

Find the next term in the series: 2, 8, 10, 18, 28, 46, 74, ?
Each term is the sum of the previous two terms. Next term = 74 + 46 = 120
fibonacci, recursive

Question 10

Find the next term in the series: 3, 9, 27, 81, 243, ?
This is an exponential series with base 3: 3^1, 3^2, 3^3... Next term = 3^6 = 729
exponential, growth

Question 11

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

Question 12

Find the next term in the series: 5, 14, 7, 28, 9, 56, 11, 112, ?
Alternating series: First: +2, Second: ×2. Next follows second pattern: 11 × 2 = 22
alternating, arithmetic

Question 13

Find the next term in the series: 4, 3, 2.25, 1.69, 1.27, ?
This is a geometric series with common ratio 0.75. Next term = 1.27 × 0.75 = 0.95
geometric, progression

Question 14

Find the next term in the series: 1, 8, 27, 64, 125, ?
This is a series of consecutive perfect cubes: 1³, 2³, 3³... Next term = 6³ = 216
perfect, cubes

Question 15

Find the next term in the series: 10, 15, 20, 25, 30, 35, ?
This is an arithmetic series with common difference 5. Next term = 35 + 5 = 40
arithmetic, progression

Question 16

Find the next term in the series: 4, 8, 16, 32, ?
This is an exponential series with base 2: 2^2, 2^3, 2^4... Next term = 2^6 = 64
exponential, growth

Question 17

Find the next term in the series: 3/6, 3/7, 3/8, 3/9, 3/10, 3/11, ?
The denominator increases by 1 each time while numerator remains 3. Next term = 3/12
fraction, pattern

Question 18

Find the next term in the series: 8, 27, 64, 125, 216, ?
This is a series of consecutive perfect cubes: 2³, 3³, 4³... Next term = 7³ = 343
perfect, cubes

Question 19

Find the next term in the series: 88, 99, 101, 111, 121, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 121 is 131
palindrome, numbers

Question 20

Find the next term in the series: 77, 88, 99, 101, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 101 is 111
palindrome, numbers
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