57 82 118 167 231 ?
Analyzing the Number Series Pattern
We need to find the missing number in the series: 57, 82, 118, 167, 231, ?
Let's examine the differences between consecutive terms:
- \(82 - 57 = 25\)
- \(118 - 82 = 36\)
- \(167 - 118 = 49\)
- \(231 - 167 = 64\)
Identifying the Difference Pattern
The differences are 25, 36, 49, and 64. These numbers are perfect squares:
- \(25 = 5^2\)
- \(36 = 6^2\)
- \(49 = 7^2\)
- \(64 = 8^2\)
The pattern shows that the difference between terms increases by the square of consecutive integers, starting from 5.
Calculating the Missing Term
Following the pattern, the next difference should be the square of the next integer, which is 9:
- Next difference = \(9^2 = 81\)
To find the missing term, we add this difference to the last term of the series (231):
- Missing term = \(231 + 81\)
- Missing term = \(312\)
Therefore, the number that should come in place of ? is 312.
Similar Questions
In the following series, one number is missing as shown by the question mark (?). Select the missing number form the given options.
8, 12, 16, 20, ?Select the number missing from the given series.
3, 12, __________, 21612- Select the number missing from the given number series.
4, 9, 20, 44, ? In the following series, one number is missing as shown by the question mark (?) select the missing number from the given options.
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1, 2, 6, ______, 120, 720Find the next two terms in the 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, .........
