Select the option that correctly completes the series: 1330, 728, 342, 124, ____
26
26 is correct.
Each term is one less than a cube: \(1330 = 11^3 - 1\), \(728 = 9^3 - 1\), \(342 = 7^3 - 1\) and \(124 = 5^3 - 1\).
The bases 11, 9, 7, 5 fall by 2 each time, so the next base is 3.
The next term is \(3^3 - 1 = 27 - 1 = 26\).
Each term therefore has the form \(n^3 - 1\) with n = 11, 9, 7, 5 and 3.
Similar Questions
Select the option that correctly completes the series: 8, 9, 13, 22, 38, ____
Find the next number in the given series.
3, 14, 33, 60, ?
Find the next number in the given series.
12, 21, 30, 39, ?
Find the next number in the given series.
37, 45, 53, 61, ?
Find the next number in the given series.
6, 12, 21, 32, ?
In the following number series, two numbers have been kept within brackets. Study the series carefully and select the correct option regarding the relationship of the series.
11, 101, 1001, (10001), 100001, (10000001)
Select the number that will be the next number in the following series.
0, 2, 6, 12, 20, 30, 42, 56, 72, ______
In the following number series, two numbers are placed in brackets. Study the series carefully and select the correct option regarding the series.
0, 1, 4, 9, (15), 25, 36, 49, (64), 81
Select the next number in the following series.
2500, 2400, 2200, 1900, 1500, ________
Select the number that does not belong to the following group.
1, 1, 1.5, 3, 7.5, 22.5, 78.75, 310
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
