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Number Series - Expert Level: power series EXPERT

Comprehensive self assessment worksheet covering 20 expert-level number series problems. Worksheet 28 of 30 emphasizes power series. Master prime series, alternate patterns, difference patterns through detailed explanations. Difficulty: challenging problems and time-bound practice. Tailored for expert-level preparation.

📝 Worksheet 28 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 28 of 30 (93% complete)

Question 1

Find the next term in the series: 10, 15, 15, 18, 20, 21, 25, 24, ?
Two alternating arithmetic series: First: +5, Second: +3. Next follows second pattern: 25 + 3 = 28
alternating, arithmetic

Question 2

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 3

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 4

Find the next term in the series: 13, 20, 27, 34, 41, ?
This is an arithmetic series with common difference 7. Next term = 41 + 7 = 48
arithmetic, progression

Question 5

Find the next term in the series: 8, 16, 32, 64, ?
This is a geometric series with common ratio 2. Next term = 64 × 2 = 128
geometric, progression

Question 6

Find the next term in the series: 3, 10, 29, 66, ?
This is a series of consecutive perfect cubes plus 2: (1³+2), (2³+2)... Next term = 5³ + 2 = 127
perfect, cubes

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: 14, 17, 20, 23, 26, ?
This is an arithmetic series with common difference 3. Next term = 26 + 3 = 29
arithmetic, progression

Question 9

Find the next term in the series: 11, 13, 17, 23, 31, ?
The differences between terms increase by 2 each time. Last difference was 8, next difference is 10, so next term = 31 + 10 = 41
difference, pattern

Question 10

Find the next term in the series: 24, 35, 48, 63, 80, ?
This is a series of consecutive perfect squares minus 1: (5²-1), (6²-1)... Next term = 10² - 1 = 99
perfect, squares

Question 11

Find the next term in the series: 3, 5, 7, 11, 13, ?
This is a series of consecutive prime numbers. The next prime after 13 is 17
prime, numbers

Question 12

Find the next term in the series: 13, 17, 23, 31, 41, 53, ?
The differences between terms increase by 2 each time. Last difference was 12, next difference is 14, so next term = 53 + 14 = 67
difference, pattern

Question 13

Find the next term in the series: 2, 6, 24, 120, ?
This is a factorial series: 2!, 3!, 4!... Next term = 6! = 720
factorial, growth

Question 14

Find the next term in the series: 7, 12, 17, 22, ?
This is an arithmetic series with common difference 5. Next term = 22 + 5 = 27
arithmetic, progression

Question 15

Find the next term in the series: 2/3, 2/4, 2/5, 2/6, ?
The denominator increases by 1 each time while numerator remains 2. Next term = 2/7
fraction, pattern

Question 16

Find the next term in the series: 59, 61, 67, 71, 73, 79, ?
This is a series of consecutive prime numbers. The next prime after 79 is 83
prime, numbers

Question 17

Find the next term in the series: 3, 12, 48, 192, ?
This is a geometric series with common ratio 4. Next term = 192 × 4 = 768
geometric, progression

Question 18

Find the next term in the series: 7, -1, -9, -17, ?
This is an arithmetic series with common difference -8. Next term = -17 + -8 = -25
arithmetic, progression

Question 19

Find the next term in the series: 2, 4, 8, 16, 32, 64, ?
This is an exponential series with base 2: 2^1, 2^2, 2^3... Next term = 2^7 = 128
exponential, growth

Question 20

Find the next term in the series: 66, 127, 218, 345, ?
This is a series of consecutive perfect cubes plus 2: (4³+2), (5³+2)... Next term = 8³ + 2 = 514
perfect, cubes
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