Question 1
Find the next term in the series: 1, 7, 8, 15, 23, 38, ?
Each term is the sum of the previous two terms. Next term = 38 + 23 = 61
Number Series - Intermediate-Advanced Level: cube series INTERMEDIATE-ADVANCED
Strategic expert challenge ★ for number series: 20 intermediate-advanced-level problems. Worksheet 19 of 30 - Focus: cube series. Develop expertise in cube series, fibonacci patterns, prime series with step-by-step solutions. Ideal for advanced developing learners targeting advanced concepts with increasing complexity.
What you'll learn in this worksheet:
- Achieve proficiency in cube series by completing this worksheet
- Develop strong fibonacci patterns skills with practical problems
- Improve your number series solving speed through expert challenge ★
- Gain confidence in identifying prime series patterns
- Master real-world applications of cube series
Your progress through Number Series
Worksheet 19 of 30 (63% complete)
Question 2
Find the next term in the series: 3, 7.5, 18.75, 46.88, 117.19, ?
This is a geometric series with common ratio 2.5. Next term = 117.19 × 2.5 = 292.98
Question 3
Find the next term in the series: 5, 12, 26, 54, ?
Each term follows: (previous term × 2) + 2. Next term = (54 × 2) + 2 = 110
Question 4
Find the next term in the series: 7, 26, 63, 124, 215, ?
This is a series of consecutive perfect cubes minus 1: (2³-1), (3³-1)... Next term = 7³ - 1 = 342
Question 5
Find the next term in the series: 3, 9, 27, 81, ?
This is an exponential series with base 3: 3^1, 3^2, 3^3... Next term = 3^5 = 243
Question 6
Find the next term in the series: 6, 24, 96, 384, ?
This is a geometric series with common ratio 4. Next term = 384 × 4 = 1536
Question 7
Find the next term in the series: 6, 24, 120, 720, 5040, ?
This is a factorial series: 3!, 4!, 5!... Next term = 8! = 40320
Question 8
Find the next term in the series: 6, 25, 8, 28, 10, 31, 12, 34, ?
Two alternating arithmetic series: First: +2, Second: +3. Next follows second pattern: 12 + 3 = 15
Question 9
Find the next term in the series: 6, 12, 8, 36, 10, 108, 12, 324, ?
Alternating series: First: +2, Second: ×3. Next follows second pattern: 12 × 3 = 36
Question 10
Find the next term in the series: 7, 18, 40, 84, 172, 348, ?
Each term follows: (previous term × 2) + 4. Next term = (348 × 2) + 4 = 700
Question 11
Find the next term in the series: 13, 17, 22, 28, 35, 43, ?
The differences between terms increase by 1 each time. Last difference was 8, next difference is 9, so next term = 43 + 9 = 52
Question 12
Find the next term in the series: 6, 24, 120, 720, ?
This is a factorial series: 3!, 4!, 5!... Next term = 7! = 5040
Question 13
Find the next term in the series: 7, 9, 14, 22, 33, ?
The differences between terms increase by 3 each time. Last difference was 11, next difference is 14, so next term = 33 + 14 = 47
Question 14
Find the next term in the series: 6, 12, 24, 48, 96, ?
This is a geometric series with common ratio 2. Next term = 96 × 2 = 192
Question 15
Find the next term in the series: 15, 23, 19, 27, 23, 31, 27, ?
Alternating series: add 8, subtract 4. Next operation gives 35
Question 16
Find the next term in the series: 2/3, 3/4, 4/5, 5/6, 6/7, 7/8, ?
Both numerator and denominator increase by 1 each time. Next term = 8/9
Question 17
Find the next term in the series: 0, 7, 26, 63, ?
This is a series of consecutive perfect cubes minus 1: (1³-1), (2³-1)... Next term = 5³ - 1 = 124
Question 18
Find the next term in the series: 1/4, 1/5, 1/6, 1/7, ?
The denominator increases by 1 each time while numerator remains 1. Next term = 1/8
Question 19
Find the next term in the series: 10, 18, 26, 34, 42, 50, ?
This is an arithmetic series with common difference 8. Next term = 50 + 8 = 58
Question 20
Find the next term in the series: 27, 81, 243, 729, ?
This is an exponential series with base 3: 3^3, 3^4, 3^5... Next term = 3^7 = 2187
🎯 Stay focused! Worksheet 19 targets cube series.