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Number Series - Expert Level: factorial series EXPERT

Strategic basic drills ★ for number series: 20 expert-level problems. Worksheet 29 of 30 - Focus: factorial series. Develop expertise in number sequences, arithmetic progression, geometric progression with step-by-step solutions. Ideal for expert-level learners targeting challenging problems and time-bound practice.

📝 Worksheet 29 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 29 of 30 (96% complete)

Question 1

Find the next term in the series: 64, 125, 216, 343, 512, ?
This is a series of consecutive perfect cubes: 4³, 5³, 6³... Next term = 9³ = 729
perfect, cubes

Question 2

Find the next term in the series: 7, 14, 28, 56, 112, ?
This is a geometric series with common ratio 2. Next term = 112 × 2 = 224
geometric, progression

Question 3

Find the next term in the series: 2, 4, 8, 16, ?
This is an exponential series with base 2: 2^1, 2^2, 2^3... Next term = 2^5 = 32
exponential, growth

Question 4

Find the next term in the series: 29, 31, 37, 41, 43, ?
This is a series of consecutive prime numbers. The next prime after 43 is 47
prime, numbers

Question 5

Find the next term in the series: 2, 9, 30, 93, 282, ?
Each term follows: (previous term × 3) + 3. Next term = (282 × 3) + 3 = 849
multiplication, addition

Question 6

Find the next term in the series: 9, 28, 65, 126, 217, ?
This is a series of consecutive perfect cubes plus 1: (2³+1), (3³+1)... Next term = 7³ + 1 = 344
perfect, cubes

Question 7

Find the next term in the series: 30, 35, 31, 36, 32, 37, 33, ?
Alternating series: add 5, subtract 4. Next operation gives 38
alternating, operations

Question 8

Find the next term in the series: 9, 10, 11, 30, 13, 90, 15, 270, ?
Alternating series: First: +2, Second: ×3. Next follows second pattern: 15 × 3 = 45
alternating, arithmetic

Question 9

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 10

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 11

Find the next term in the series: 137, 139, 149, 151, ?
This is a series of consecutive prime numbers. The next prime after 151 is 157
prime, numbers

Question 12

Find the next term in the series: 83, 89, 97, 101, 103, ?
This is a series of consecutive prime numbers. The next prime after 103 is 107
prime, numbers

Question 13

Find the next term in the series: 3/3, 3/4, 3/5, 3/6, 3/7, ?
The denominator increases by 1 each time while numerator remains 3. Next term = 3/8
fraction, pattern

Question 14

Find the next term in the series: 15, 17, 19, 21, 23, 25, ?
This is an arithmetic series with common difference 2. Next term = 25 + 2 = 27
arithmetic, progression

Question 15

Find the next term in the series: 55, 66, 77, 88, 99, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 99 is 101
palindrome, numbers

Question 16

Find the next term in the series: 8, 10, 14, 20, 28, 38, ?
The differences between terms increase by 2 each time. Last difference was 10, next difference is 12, so next term = 38 + 12 = 50
difference, pattern

Question 17

Find the next term in the series: 7, 8, 11, 16, 23, ?
The differences between terms increase by 2 each time. Last difference was 7, next difference is 9, so next term = 23 + 9 = 32
difference, pattern

Question 18

Find the next term in the series: 97, 101, 103, 107, 109, 113, ?
This is a series of consecutive prime numbers. The next prime after 113 is 127
prime, numbers

Question 19

Find the next term in the series: 2, 4, 8, 16, ?
This is an exponential series with base 2: 2^1, 2^2, 2^3... Next term = 2^5 = 32
exponential, growth

Question 20

Find the next term in the series: 4, 7, 11, 18, 29, ?
Each term is the sum of the previous two terms. Next term = 29 + 18 = 47
fibonacci, recursive
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