Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
7, 26, 63, 124, 215, 342, ?
Answer: Option D
Explanation:
The terms of the given series are (23 - 1), (33 - 1), (43 - 1), (53 - 1), (63 - 1), (73 - 1),.....
So, missing term = (83 - 1) = (512 - 1) = 511.
3, 12,27,48, 75, 108,?
Answer: Option A
The terms of the given series are 3 x l2, 3 x 22, 3 x 32, 3 x 42, 3 x 52, 3 x 62,.....
So, missing term = 3 x 72 = 3 x 49 = 147.
3, 7, 23, 95, ?
Answer: Option C
The pattern is x 2 + 1, x 3 + 2, x 4 + 3,.....
So, missing term = 95 x 5 + 4 = 479.
6, 18, 3, 21, 7, 56, ?
Each term at an even place in the series is the product of its two adjacent terms.
Thus, if the missing term be x, then we have : 7 x x = 56 or x = 56 ÷ 7 = 8.
4, 9, 25, ?, 121, 169, 289, 361
The given series consists of squares of consecutive prime numbers
i.e. 22, 32, 52,.....,
112, 132, 172, 192.
So, missing term = 72 = 49.
