39 51 68 90 117 ?
Identifying the Pattern in the Number Series
The problem requires finding the missing number in the given numerical series: 39, 51, 68, 90, 117, ?. To solve this, we need to identify the pattern governing the series.
Step 1: Calculate Consecutive Differences
First, let's find the difference between each consecutive pair of numbers in the series:
- Difference 1: \(51 - 39 = 12\)
- Difference 2: \(68 - 51 = 17\)
- Difference 3: \(90 - 68 = 22\)
- Difference 4: \(117 - 90 = 27\)
The differences are: 12, 17, 22, 27.
Step 2: Analyze the Differences
Now, let's examine the pattern in these differences (12, 17, 22, 27). We find the difference between these consecutive differences:
- \(17 - 12 = 5\)
- \(22 - 17 = 5\)
- \(27 - 22 = 5\)
The difference between the differences is constant and equal to 5.
Step 3: Determine the Next Term
Based on the pattern identified (adding 5 to the previous difference), the next difference in the sequence should be:
Next Difference = \(27 + 5 = 32\)
To find the missing number in the original series, we add this next difference (32) to the last known term (117):
Missing Number = \(117 + 32 = 149\)
Conclusion: The Missing Number
The number that should come in place of '?' in the series is 149.
Similar Questions
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3, 12, __________, 21612- Select the number missing from the given number series.
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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, .........
