In the following question, select the missing number from the given series.
23
Finding the Missing Number in a Logical Series
The question presents a number series and asks us to find the missing term. The given series is:
8, 11, 14, 17, 20, ?
To solve this, we need to analyze the series and find the pattern that connects the numbers.
Identifying the Pattern
Let's look at the difference between consecutive terms in the series:
- From 8 to 11: The difference is \(11 - 8 = 3\).
- From 11 to 14: The difference is \(14 - 11 = 3\).
- From 14 to 17: The difference is \(17 - 14 = 3\).
- From 17 to 20: The difference is \(20 - 17 = 3\).
We can clearly see a consistent pattern: each term is obtained by adding 3 to the previous term. This is an arithmetic progression with a common difference of 3.
Calculating the Missing Term
Following the identified pattern, the missing number will be the result of adding 3 to the last given term, which is 20.
Missing Number = Last term + Common difference
Missing Number \(= 20 + 3\)
Missing Number \(= 23\)
Conclusion
Based on the arithmetic pattern where 3 is added to each preceding number, the next number in the series 8, 11, 14, 17, 20, ? is 23.
Revision Table: Analyzing the Number Pattern
| Term | Value | Calculation |
|---|---|---|
| 1st | 8 | Given |
| 2nd | 11 | \(8 + 3\) |
| 3rd | 14 | \(11 + 3\) |
| 4th | 17 | \(14 + 3\) |
| 5th | 20 | \(17 + 3\) |
| 6th (Missing) | ? | \(20 + 3 = 23\) |
Additional Information: Understanding Number Series
Number series problems are common in reasoning and quantitative aptitude tests. They assess your ability to identify patterns and rules governing a sequence of numbers. Common patterns include:
- Arithmetic progression (constant difference)
- Geometric progression (constant ratio)
- Difference series (pattern in the differences between terms)
- Alternating series (two different patterns alternating)
- Series based on squares, cubes, or other powers
- Fibonacci series (sum of previous two terms)
Practice with various types of series helps in quickly recognizing the underlying pattern.
Similar Questions
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Important Questions from Number Series
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A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
