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
Select the number from among the given options that can replace the question mark (?) in the following series.
175 221 267 313 359 ?
Which of the following options should come in place of the question mark (?) in the given series?
4 5 9 18 34 ?
In the following number pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of ::?
(Note: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
X : 140.4 :: 38 : Y
Which of the following options should come in place of the question mark (?) in the given series?
75 15 24 34 45?Given below are two sets of numbers. Both the sets are formed using the same mathematical equations or follow a common pattern. Which of the given options follows the same set of mathematical equations or patterns as the sets given in the question? 1333-1730-2199-2746-3377 218-345-514-731-1002
Select the number from among the given options that can replace the question mark (?) in the following series.
184 242 275 333 366 424 ?
Which of the following options should come in place of the question mark (?) in the given series to make it logically complete?
24, 26, 30, 36, 44,?
Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?
RJZ, PMW, NPT, LSQ, ?
In the following number pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of ::?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
X : 23 :: 476 : Y
What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and '×' and '÷' are interchanged?
8 × 2 + 3 - 2 ÷ 6 = ?
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
