(i) 1, 8, 4, 27, 9, ?
(ii) 3, 6, 8, 16, 18, ?
(iii) 2, 8, 512, ?
(iv) 81, 9, 64, 8, ?, 12
(v) 6, 11, 21, 36, 56, ?
(i) 1, 8, 4, 27, 9, ?
Square and Cube Series
1 square of 1
8 cube of 2
4 square of 2
27 cube of 3
9 square of 3
64 cube of 4
| 1 | 8 | 4 | 27 | 9 | 64 | 16 |
| Square of 1 | Cube of 2 | Square of 2 | Cube of 3 | Square of 3 | Cube of 4 | Square of 4 |
| 12 | 23 | 22 | 33 | 32 | 43 | 42 |
(ii) 3, 6, 8, 16, 18, ?
Multiplication and addition series
3 x 2 = 6
6 + 2 = 8
8 x 2 = 16
16 + 2 = 18
18 x 2 =36
| 3 | 6 | 8 | 16 | 18 | 36 |
| Multiply by 2 | Addition of 2 | Multiply by 2 | Addition of 2 | Multiply by 2 | Addition of 2 |
| 3 x 2 | 6 + 2 | 8 x 2 | 16 + 2 | 18 x 2 | 36 + 2 |
(iii) 2, 8, 512, ?
Cube Series:
2 x 2 x 2 = 8
8 x 8 x 8 = 512
512 x 512 x 512 = 134217728
| 2 | 8 | 512 |
| Cube of 2 | Cube of 8 | Cube of 512 |
| 23 | 83 | 5123 |
(iv) 81, 9, 64, 8, ?, 12
Square Root Series:
√81=9
√64=8
√144=12
| 81 | 9 | 64 | 8 | 144 | 12 |
| Square Root of 9 | Square Root of 9 | Square Root of 9 | |||
| √81 | √64 | √144 |
|
(v) 6, 11, 21, 36, 56, ?
Addition of Multiples of 5
6 + 5 = 11
11 + 10 = 21
21 + 15 = 36
36 + 20 = 56
56 + 25 = 81
| 6 | 11 | 21 | 36 | 56 | 81 |
| Addition of 5 | Addition of 10 | Addition of 15 | Addition of 20 | Addition of 25 | Addition of 30 |
| 6 + 5 | 11 + 10 | 21 + 15 | 36 + 20 | 56 + 25 | 81 + 30 |
