57 65 81 113 177 ?
Series Pattern Recognition
To find the missing number in the series 57, 65, 81, 113, 177, ?, we need to identify the pattern between consecutive terms.
Analyzing Differences Between Terms
Calculate the difference between each consecutive pair of numbers:
- \(65 - 57 = 8\)
- \(81 - 65 = 16\)
- \(113 - 81 = 32\)
- \(177 - 113 = 64\)
Identifying the Progression Pattern
Observe the differences obtained: 8, 16, 32, 64. Notice that each difference is double the previous one.
- \(8 \times 2 = 16\)
- \(16 \times 2 = 32\)
- \(32 \times 2 = 64\)
This indicates a pattern where the difference increases by a factor of 2.
Calculating the Next Difference
Following this pattern, the next difference should be \(64 \times 2\).
- Next difference = \(64 \times 2 = 128\)
Determining the Missing Number
Add this next difference to the last term of the series (177) to find the missing number.
- Missing number = \(177 + 128\)
- Missing number = \(305\)
Therefore, the number that should come in place of '?' is 305.
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.
3, 8, 13, 18, ?Select the number missing from the given sequence.
1, 2, 6, ______, 120, 720Find the next two terms in the series.
J, L, O, S, ?, ?Find the next term in the series.
X, V, T, R, P, ?What will be next number in the series?
0, 1, 4, 27, 16, 125, 36, ?Choose the correct alternative which will complete the following series.
4, 8, 12, 24, 18, ?Choose the correct alternative which will complete the following series:
21, 55, 19, 45, 17, 35, ?
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, .........
