Number Series Pattern Analysis
The problem presents a sequence of numbers: 13, 17, 25, 41, 73, ?. The goal is to identify the pattern governing this sequence and determine the number that should replace the question mark.
Step-by-Step Solution
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Analyze the Differences: First, let's find the difference between consecutive terms in the given series.
- $17 - 13 = 4$
- $25 - 17 = 8$
- $41 - 25 = 16$
- $73 - 41 = 32$
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Identify the Pattern in Differences: Observe the sequence of differences: 4, 8, 16, 32. We can see a clear pattern here: each difference is double the previous difference.
- $4 \times 2 = 8$
- $8 \times 2 = 16$
- $16 \times 2 = 32$
- Calculate the Next Difference: Following the established pattern, the next difference should be $32 \times 2$. $32 \times 2 = 64$
- Determine the Missing Number: To find the next number in the original series, add this next difference (64) to the last known term (73). $73 + 64 = 137$
Therefore, the number that will be present in place of the question mark is 137.
Conclusion
The number series follows a pattern where the difference between consecutive terms doubles each time. Starting with a difference of 4, the subsequent differences are 8, 16, and 32. The next difference is 64, leading to the final term being 137.
Similar Questions
Which of the following numbers will replace the question mark (?) in the given series?
3, 7, 5, 61, 363 ?
Which of the following numbers will replace the question mark (?) in the given series?
7, 15, 30, 62, 125, 253, ?
Select the correct option that will fill in the blank and complete the series.
1, 3, 3, 6, 5, 12, 7, 24, 9, 48, 11, ____Which of the following numbers will replace the question mark (?) in the given series?
52, 69, 86, 103, ?, 137
Select the number from among the given options that can replace the question mark (?) in the following series.
73, 70, 64, 55, ?
Which of the following numbers will replace the question mark (?) in the given series?
420, 342, 342, ?, 272
Select the number from among the given options that can replace the question mark (?) in the following series.
64, 72, 81, 91, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
47, 47, 48, 50, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
3360, 4080, ? , 5814
Which of the following numbers will replace the question mark (?) in the given series?
990, 891, 792, ?, 594
Important Questions from Number Series
What will come in place of question mark (?) in the following number series?
2, 5, 11, 23, 44, 77, ?
What will come in place of question mark (?) in the following number series?
31, 32, 36, ?, 61, 86
What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
What should come in place of the question mark ‘?’ in the following number series?
60, 40, 50, ?, 180, 460
A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
