1, 1, 4, 8, 9, 27, 16, ?
Answer: Option B
Explanation:
The series consists of squares and cubes of consecutive natural numbers i.e. 12, 13, 22, 23, 32, 33, 42, .....
So, missing term = 43 = 64.
1, 2, 3, 6, 9, 18, ?, 54
The pattern is x 2, x 3/2, x 2, x 3/2, x 2,.....
So, missing term = 18 x 3/2 = 27.
6, 13, 25, 51, 101, ?
Answer: Option C
The pattern is x 2 + 1, x 2 - 1, x 2 + 1, x 2 - 1,.....
So, missing term = 101 x 2 + 1 = 203.
5,6,9, 15, ?, 40
The pattern is + 1, + 3, + 6,....., i.e. + 1, + (1, + 2), + (1 + 2 + 3),.....
So, missing term = 15 + (1 + 2 + 3 + 4) = 25.
1, 3, 4, 8, 15, 27, ?
The sum of any three consecutive terms of the series gives the next term.
So, missing number = 8 + 15 + 27 = 50.
