What should come in place of '?' in the given series? 65 ? 24 15 11 10
40
Read the series from right to left: 10, 11, 15, 24, ?, 65.
The differences going this way are perfect squares: \(11 - 10 = 1 = 1^2\), \(15 - 11 = 4 = 2^2\), \(24 - 15 = 9 = 3^2\).
The next difference is \(4^2 = 16\), so the missing term \(= 24 + 16 = 40\).
Check the following step: \(40 + 5^2 = 40 + 25 = 65\), which matches.
Hence, the missing number is 40.
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What will come in place of question mark (?) in the following number series?
2, 5, 11, 23, 44, 77, ?
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A series is given with one term wrong. Select that wrong term from the given alternatives.
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