56 68 87 113 146 ?
Series Pattern Analysis: Finding the Missing Term
To find the missing number in the series 56, 68, 87, 113, 146, ?, we first examine the differences between consecutive terms.
- Difference between 68 and 56: \(68 - 56 = 12\)
- Difference between 87 and 68: \(87 - 68 = 19\)
- Difference between 113 and 87: \(113 - 87 = 26\)
- Difference between 146 and 113: \(146 - 113 = 33\)
The sequence of differences is 12, 19, 26, 33.
Identifying the Second Difference
Now, let's find the differences between these consecutive differences (the second differences):
- \(19 - 12 = 7\)
- \(26 - 19 = 7\)
- \(33 - 26 = 7\)
The second difference is constant and equal to 7.
Calculating the Next Term
To find the next difference in the first sequence of differences, we add the constant second difference (7) to the last difference (33):
Next difference = \(33 + 7 = 40\)
Finally, to find the missing term in the original series, we add this next difference (40) to the last term of the series (146):
Missing term = \(146 + 40 = 186\)
Therefore, the number that should come in place of ? is 186.
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 ?
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?Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) # 1 * £ 5 8 $ 4 2 & % 6 7 & @ 3 2 9 (Right)
How many such symbols are there, each of which is immediately preceded by a number and also immediately followed by a symbol?
- What should come in place of the question mark (?) in the given series? 67 106 88 127 109 148 ?
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, ?- 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 : 676 :: 17 : Y - Which of the following options should come in place of the question mark (?) in the given series to make it logically complete?
125, 128, 133, 140, 149,? - Select the option that is related to the third number in the same way as the second number is related to the first number.
400: 20:: 100: ?
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
