What number would replace questions mark (?) in the series given below?
2, 5, 10, 19, 36, 69, 134?
263
The series is: 2, 5, 10, 19, 36, 69, 134, ?
Step 1: Find the differences between consecutive terms.
5−2 = 3
10−5 = 5
19−10 = 9
36−19 = 17
69−36 = 33
134−69 = 65
Step 2: Look at the pattern in these differences: 3, 5, 9, 17, 33, 65
Notice that each difference is obtained by doubling the previous difference and subtracting 1:
2×3−1 = 5
2×5−1 = 9
2×9−1 = 17
2×17−1 = 33
2×33−1 = 65
Step 3: Find the next difference using the same rule.
Next difference = 2×65−1 = 129
Step 4: Add this difference to the last term of the series.
? = 134 + 129 = 263
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Important Questions from Number Series
- 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,? - What should come in place of the question mark (?) in the given series?
801 800 792 765 701 ? - What should come in place of the question mark (?) in the given series?
101 110 121 134 149 ? - What should come in place of the question mark (?) in the given series?
40, 48, 58, 66, 76, ?
