Select the option that will complete the series. 33, 45, 69, 105, 153, ____
213
213 is correct.
Find the differences between consecutive terms: \(45-33=12\), \(69-45=24\), \(105-69=36\), \(153-105=48\).
The differences 12, 24, 36, 48 are consecutive multiples of 12, so the next difference is \(48+12=60\).
Missing term = \(153+60=213\).
Equivalently, the differences are \(12\times1, 12\times2, 12\times3, 12\times4\), so the fifth difference is \(12\times5=60\). 214, 224 and 227 would need differences of 61, 71 and 74, which do not continue the multiples of 12.
Similar Questions
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Select the option that correctly completes the series: 1330, 728, 342, 124, ____
Select the option that correctly completes the series.
88, 98, 83, 103, 78, ?
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12, 12, 13, 26, 28, 84, ?
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15, 45, 70, 90, 105, ?
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37, 50, 65, 82, 101, ?
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2, 4, 8, 14, 22, ____
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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?
31, 32, 36, ?, 61, 86
What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
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
