Series

Directions (Q. 1–5: What should come in place of question mark (?) in the following number series ?

1. 2, 4, 9, 20, 37, ?
(1) 56
(2) 58
(3) 57
(4) 60
(5) None of these

2. 17, 34, 53, 74, 97, 122, ?
(1) 149
(2) 147
(3) 151
(4) 152
(5) None of these

3. 1,  3,  11,  57,  401,  3611, ?
(1) 25279
(2) 39723
(3) 53169
(4) 37923
(5) None of these

4. 2, 9, 28, 65, 126, 217,  ?
(1) 340
(2) 342
(3) 346
(4) 354
(5) None of these

5. 4, 10, 18, 28, 40, 54, ?
(1) 70
(2) 68
(3) 72
(4) 73
(5) None of these

 Answers
1. (4)
The difference between terms is alternate prime numbers i.e. 2, 5, 11, 17 and so on.

2. (1)
The differences are 17, 19, 21, 23 and so on.

3. (2)
The pattern is x1+2, x3+2, x5+2 and so on.

4. (5)
The numbers are 1^3+1, 2^3+1, 3^3+1 and so on.

5. (1)
The pattern is +6, +8, +10, +12 and so on.

Directions (Q. 1–5: What should come in place of question mark (?) in the following number series ?

1. 2, 4, 9, 20, 37, ?
(1) 56
(2) 58
(3) 57
(4) 60
(5) None of these

2. 17, 34, 53, 74, 97, 122, ?
(1) 149
(2) 147
(3) 151
(4) 152
(5) None of these

3. 1,  3,  11,  57,  401,  3611, ?
(1) 25279
(2) 39723
(3) 53169
(4) 37923
(5) None of these

4. 2, 9, 28, 65, 126, 217,  ?
(1) 340
(2) 342
(3) 346
(4) 354
(5) None of these

5. 4, 10, 18, 28, 40, 54, ?
(1) 70
(2) 68
(3) 72
(4) 73
(5) None of these

 Answers
1. (4)
The difference between terms is alternate prime numbers i.e. 2, 5, 11, 17 and so on.

2. (1)
The differences are 17, 19, 21, 23 and so on.

3. (2)
The pattern is x1+2, x3+2, x5+2 and so on.

4. (5)
The numbers are 1^3+1, 2^3+1, 3^3+1 and so on.

5. (1)
The pattern is +6, +8, +10, +12 and so on.