Identify the next number in the sequence. 8, 24, 48, 80, 120, ?
168
The series is 8, 24, 48, 80, 120, ? and again the growth pattern is easiest to expose through differences.
The first difference is \(24-8=16\).
Continuing: \(48-24=24\), \(80-48=32\) and \(120-80=40\).
The differences 16, 24, 32, 40 increase by a constant 8 each time.
So the next difference must be \(40+8=48\).
Adding this to the last term gives \(120+48=168\).
As a cross-check, each term equals \(4n(n+1)\) for \(n=1..6\), and \(4\times6\times7=168\).
Hence the next number in the sequence is 168.
Similar Questions
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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.
