Complete the series: 3, 4, 6, 10, 18, 34, (…)
66
66 is correct.
Take the differences between consecutive terms: 4 − 3 = 1, 6 − 4 = 2, 10 − 6 = 4, 18 − 10 = 8, 34 − 18 = 16.
The differences double each time (1, 2, 4, 8, 16), so the next difference is 32.
Next term \(= 34 + 32 = 66\).
The same rule appears as \(2^n + 2\) for n = 0, 1, 2, …: 3 = 1 + 2, 4 = 2 + 2, 6 = 4 + 2, and so on up to 66 = 64 + 2.
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
