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
- Choose the missing number in the below series.
100, 95, 90, 85, ?, 75 Which of the following numbers will replace the question mark (?) in the given series?
64, 67, 76, 103, ?
Which of the following numbers will replace the question mark (?) in the given series?
40, 53, 68, ?, 104, 125, 148
Select the option that will replace the question mark (?) in the following number series.
11, 15, 12, 16, 13, ?
Which number will replace the question mark (?) in the given series?
61, 73, 99, 141, 201, ?
Which number will replace the question mark (?) in the given series?
55, 68, 81, 94, ?, 120
Select the number from among the given options that can replace the question mark (?) in the following series.
1, 2, 4, 4, 9, 6, ?, 8, 25, 10
Which of the following numbers will replace the question mark (?) in the given series?
15, 48, 148, ?, 1353
Which number will replace the question mark (?) in the following series?
5, 5, 11, 35, 95, 215, ?
From the given options, choose the correct one that will replace the question mark (?) in the following series.
1, 5, 3, 2, 10, 6, 4, 15, 9, 8, ?, 12
Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
15, 45, 75, 105, ?
Identify the number that does NOT belong to the following series.
18, 27, 35, 45, 54
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 41, 50, 66, ?
दिए गए विकल्पों में से वह संख्या चुनिए जो निम्नलिखित श्रृंखला में प्रश्नवाचक चिन्ह (?) को प्रतिस्थापित कर सके।
20, 21, 25, 34,?, 75
Select the correct option that will fill in the blank and complete the series.
45, 49, 58, 74, .........
