Directions: Pick the correct options from below. 8, 18, 32, 50, ?
72
The series is 8, 18, 32, 50, ? and the quickest route is to study how the terms grow.
Take the first difference: \(18-8=10\).
The next difference is \(32-18=14\), and the one after is \(50-32=18\).
The differences form 10, 14, 18, which themselves rise by a constant 4 each step.
So the following difference must be \(18+4=22\).
Adding this to the last known term gives \(50+22=72\).
As a check, the terms also equal \(2n^{2}\) for \(n=2,3,4,5,6\), and \(2\times6^{2}=72\), confirming the value.
Hence the next number in the series is 72.
Similar Questions
What will be the 50th term in the following series?
20, 24, 28, 32, ....
A series is given with one term wrong. Select the wrong term from the given alternatives.
-913, -916, -924, -937, -955, -975, -1006, -1039
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
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In the following question, four number pairs are given. In each pair the number on left side of (−) is related to the number of the right side of (−) with some Logic/Rule/Relation. Three pairs are similar on the basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
(NOTE: Operations should be performed on the whole numbers, without breaking down the number 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)
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Which of the following numbers would replace the question mark (?) in the given number series?
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Important Questions from Number Based
In the following question, four number pairs are given. The number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Select the set in which the numbers are related in the same way as are the number of the following set.
(3, 7, 58)
Find the odd number/letters from the given alternatives.
Find the odd number/letters from the given alternatives.
Identify the number which is different from the other.
