(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 |