(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 |