Understanding the Number Series Puzzle
The task is to find the missing term in the given number series: \(235, 271, 349, 385, ?, 499\). We need to identify the underlying pattern that connects these numbers.
Analyzing the Differences Between Terms
Let's examine the differences between consecutive numbers in the series to uncover the pattern:
- First difference: \(271 - 235 = 36\)
- Second difference: \(349 - 271 = 78\)
- Third difference: \(385 - 349 = 36\)
Identifying the Series Pattern
The calculated differences are \(36, 78, 36\). This sequence suggests an alternating pattern of adding \(36\) and then adding \(78\). The pattern seems to be: \(+36, +78, +36, +78, +36, \ldots\)
Calculating the Missing Term
Applying the identified pattern, the step following \(385\) should be adding \(78\) to find the missing term:
Missing Term \(= 385 + 78\)
Missing Term \(= 463\)
Verifying the Pattern
To confirm our calculation, we check if the next step in the pattern (\(+36\)) applied to our found missing term (\(463\)) results in the final number (\(499\)) of the series:
Next Term \(= 463 + 36\)
Next Term \(= 499\)
The result matches the last term of the series, confirming that the pattern (\(+36, +78, +36, +78, +36\)) is correct and the missing term is indeed \(463\).
Final Answer
The missing term in the series \(235, 271, 349, 385, ?, 499\) is \(463\).
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
