Find the next number in the category. 61, 62, 66, 75, 91,?
116
Find the differences between consecutive terms: 62 − 61 = 1, 66 − 62 = 4, 75 − 66 = 9, 91 − 75 = 16.
The differences are \(1^2, 2^2, 3^2, 4^2\), i.e. consecutive perfect squares.
The next difference is \(5^2 = 25\), so the next term is \(91 + 25 = 116\).
Hence, the next number is 116.
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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?
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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
