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
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
