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Number Series - Intermediate Level: power series INTERMEDIATE

Exam-focused quick response training ★ worksheet: 20 intermediate-level number series questions. Worksheet 13 of 30 targets power series. Build proficiency in fibonacci patterns, prime series, alternate patterns with detailed solutions. Ideal for mid-level competitive exam preparation.

📝 Worksheet 13 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 13 of 30 (43% complete)

Question 1

Find the next term in the series: 4, 16, 64, 256, ?
This is a geometric series with common ratio 4. Next term = 256 × 4 = 1024
geometric, progression

Question 2

Find the next term in the series: 9, 15, 27, 51, 99, ?
Each term follows: (previous term × 2) - 3. Next term = (99 × 2) - 3 = 195
multiplication, addition

Question 3

Find the next term in the series: 5, 8, 13, 21, 34, 55, ?
Each term is the sum of the previous two terms. Next term = 55 + 34 = 89
fibonacci, recursive

Question 4

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 5

Find the next term in the series: 5, 10, 20, 40, 80, ?
This is a geometric series with common ratio 2. Next term = 80 × 2 = 160
geometric, progression

Question 6

Find the next term in the series: 2, 4, 8, 16, 32, ?
This is an exponential series with base 2: 2^1, 2^2, 2^3... Next term = 2^6 = 64
exponential, growth

Question 7

Find the next term in the series: 6, 3, 1.5, 0.75, 0.38, ?
This is a geometric series with common ratio 0.5. Next term = 0.38 × 0.5 = 0.19
geometric, progression

Question 8

Find the next term in the series: 3, 7, 10, 17, 27, 44, 71, ?
Each term is the sum of the previous two terms. Next term = 71 + 44 = 115
fibonacci, recursive

Question 9

Find the next term in the series: 151, 157, 163, 167, 173, 179, ?
This is a series of consecutive prime numbers. The next prime after 179 is 181
prime, numbers

Question 10

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

Question 11

Find the next term in the series: 16, 64, 256, 1024, 4096, 16384, ?
This is an exponential series with base 4: 4^2, 4^3, 4^4... Next term = 4^8 = 65536
exponential, growth

Question 12

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 13

Find the next term in the series: 3, 10, 29, 66, 127, ?
This is a series of consecutive perfect cubes plus 2: (1³+2), (2³+2)... Next term = 6³ + 2 = 218
perfect, cubes

Question 14

Find the next term in the series: 9, 6, 2, -1, -1, -4, ?
Alternating series: -3, ÷3. Next operation gives -2
alternating, operations

Question 15

Find the next term in the series: 12, 16, 21, 27, 34, 42, ?
The differences between terms increase by 1 each time. Last difference was 8, next difference is 9, so next term = 42 + 9 = 51
difference, pattern

Question 16

Find the next term in the series: 14, 39, 114, 339, 1014, ?
Each term follows: (previous term × 3) - 3. Next term = (1014 × 3) - 3 = 3039
multiplication, addition

Question 17

Find the next term in the series: 8, 16, 32, 64, 128, ?
This is an exponential series with base 2: 2^3, 2^4, 2^5... Next term = 2^8 = 256
exponential, growth

Question 18

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

Question 19

Find the next term in the series: 113, 127, 131, 137, 139, 149, ?
This is a series of consecutive prime numbers. The next prime after 149 is 151
prime, numbers

Question 20

Find the next term in the series: 181, 191, 202, 212, 222, 232, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 232 is 242
palindrome, numbers
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