Find the next element that replace the ? Logically 90, 109, 130, 153, ?
178
This is a number series where each term grows by a steadily increasing step, so we examine the gaps between consecutive terms.
First difference: \(109 - 90 = 19\).
Second difference: \(130 - 109 = 21\).
Third difference: \(153 - 130 = 23\).
The differences 19, 21, 23 themselves rise by a constant 2 each time, so the next difference must be \(23 + 2 = 25\).
Add this step to the last given term: \(153 + 25 = 178\).
This is a second-order arithmetic progression, where the differences form their own arithmetic sequence, so the missing number is 178.
Similar Questions
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(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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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.
