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Find the missing number given below7,12,20,31,__?
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Find the missing number given below7,12,20,31,__? Related: Overview w...
Understanding the Series
The given number series is: 7, 12, 20, 31, __?
To find the missing number, we need to identify the pattern between the numbers.
Identifying the Pattern
- First Difference: Calculate the difference between consecutive terms:
- 12 - 7 = 5
- 20 - 12 = 8
- 31 - 20 = 11
- Second Difference: Now, observe the differences:
- 8 - 5 = 3
- 11 - 8 = 3
The second difference is consistent, indicating that we can expect the next difference to also increase by 3.
Calculating the Next Number
- Next Difference:
- The next difference would be 11 + 3 = 14.
- Finding the Missing Number:
- Add this difference to the last known number in the series:
- 31 + 14 = 45.
Conclusion
The missing number in the series is 45.
This method of identifying patterns through differences is commonly used in number series problems, especially in competitive exams like UPSC. Understanding how to find and apply these patterns is crucial for solving such problems efficiently.
The given number series is: 7, 12, 20, 31, __?
To find the missing number, we need to identify the pattern between the numbers.
Identifying the Pattern
- First Difference: Calculate the difference between consecutive terms:
- 12 - 7 = 5
- 20 - 12 = 8
- 31 - 20 = 11
- Second Difference: Now, observe the differences:
- 8 - 5 = 3
- 11 - 8 = 3
The second difference is consistent, indicating that we can expect the next difference to also increase by 3.
Calculating the Next Number
- Next Difference:
- The next difference would be 11 + 3 = 14.
- Finding the Missing Number:
- Add this difference to the last known number in the series:
- 31 + 14 = 45.
Conclusion
The missing number in the series is 45.
This method of identifying patterns through differences is commonly used in number series problems, especially in competitive exams like UPSC. Understanding how to find and apply these patterns is crucial for solving such problems efficiently.
Community Answer
Find the missing number given below7,12,20,31,__? Related: Overview w...
45
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Find the missing number given below7,12,20,31,__? Related: Overview with Examples: Number Series?
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Find the missing number given below7,12,20,31,__? Related: Overview with Examples: Number Series? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the missing number given below7,12,20,31,__? Related: Overview with Examples: Number Series? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the missing number given below7,12,20,31,__? Related: Overview with Examples: Number Series?.
Find the missing number given below7,12,20,31,__? Related: Overview with Examples: Number Series? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the missing number given below7,12,20,31,__? Related: Overview with Examples: Number Series? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the missing number given below7,12,20,31,__? Related: Overview with Examples: Number Series?.
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