(i) 4, 16, 36, 64, ?, 144.
(ii) 30, 29, 27, ?, 20, 15
(iii) 1, 7, 15, 25, ?, 51
(iv) 0, 2, 6, 12, 20, 30, ?
(v) 48, 24, 72, 36, 108, ?
(i) 4, 16, 36, 64, ?, 144.
Square of Even Numbers
22 = 4
42 = 16
62 = 36
82 = 64
102 = 100
122 = 144
| 4 | 16 | 36 | 64 | 100 | 144 |
| Square of 2 | Square of 4 | Square of 6 | Square of 8 | Square of 10 | Square of 12 |
| 22 | 42 | 62 | 82 | 102 | 122 |
(ii) 30, 29, 27, ?, 20, 15
Subtract 1, 2, 3, 4, 5,….
30 – 29 = 1
29 – 27 = 2
27 – 24 = 3
24 – 20 = 4
20 – 15 = 5
| 30 | 29 | 27 | 24 | 20 | 15 |
| Subtract 1 | Subtract 2 | Subtract 3 | Subtract 4 | Subtract 5 | Subtract 6 |
| 30-1 | 29-2 | 27-3 | 24-4 | 20-5 | 15-6 |
(iii) 1, 7, 15, 25, ?, 51
Addition of even numbers starting from 6, 8, 10, 12, 14, …
1 + 6 = 7
7 + 8 = 15
15 + 10 = 25
25 + 12 = 37
37 + 14 = 51
| 1 | 7 | 15 | 25 | 37 | 51 |
| Addition of 6 | Addition of 8 | Addition of 10 | Addition of 12 | Addition of 14 | Addition of 16 |
| 1+6 | 7+8 | 15+10 | 25+12 | 37+14 | 51+16 |
(iv) 0, 2, 6, 12, 20, 30, ?
Addition of even numbers: 2, 4, 6, 8, 10, 12
0 + 2 = 2
2 + 4 = 6
6 + 6 = 12
12 + 8 = 20
20 + 10 = 30
30 + 12 = 42
| 0 | 2 | 6 | 12 | 20 | 30 | 42 |
| Addition of 2 | Addition of 4 | Addition of 6 | Addition of 8 | Addition of 10 | Addition of 12 | Addition of 14 |
| 0+2 | 2+4 | 6+6 | 12+8 | 20+10 | 30+12 | 42+14 |
(v) 48, 24, 72, 36, 108, ?
Divide first term by 2 and get second term, third by 2 and get fourth and so on.
48/2=24
72/2=36
108/2=54
| 48 | 24 | 72 | 36 | 108 | 54 |
| Divide by 2 | Divide by 2 | Divide by 2 | |||
| 48/2 | 72/2 | 108/2 |
