Number grids
On a grid number 1 to 100 I have a drawn a rectangle on the grid around the numbers 29, 30, 39 and 40. Then I have multiplied diagonally the opposite numbers in each corner of the rectangle.
-100 number grid:
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
20
21
22
23
24
25
26
27
28
29
30
30
31
32
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
00
29
30
39
40
On the grid I have located a 2 by 2 rectangle in a different area and I will see if there is any kind of pattern in the answers. I will place ma rectangle around the following numbers 45, 46, 55 and 56.
45
46
55
56
I have noticed a pattern between both of the answers as when I place the 2 by 2 rectangle on the number grid. The pattern is when you work out the second multiple the answer is 10 more then first one answer.
I have chosen to another 2 by 2 rectangle to see if my pattern that I have found dose work out again.
25
26
35
36
The pattern has occurred again, difference of 10 between the answers.
Instead of checking the rectangle on every possible number on the grid and multiplying the numbers and checking if there is a difference of 10 between the answers, I have worked out a nth term rule. Which I would look like this:
On a grid number 1 to 100 I have a drawn a rectangle on the grid around the numbers 29, 30, 39 and 40. Then I have multiplied diagonally the opposite numbers in each corner of the rectangle.
-100 number grid:
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
20
21
22
23
24
25
26
27
28
29
30
30
31
32
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
00
29
30
39
40
On the grid I have located a 2 by 2 rectangle in a different area and I will see if there is any kind of pattern in the answers. I will place ma rectangle around the following numbers 45, 46, 55 and 56.
45
46
55
56
I have noticed a pattern between both of the answers as when I place the 2 by 2 rectangle on the number grid. The pattern is when you work out the second multiple the answer is 10 more then first one answer.
I have chosen to another 2 by 2 rectangle to see if my pattern that I have found dose work out again.
25
26
35
36
The pattern has occurred again, difference of 10 between the answers.
Instead of checking the rectangle on every possible number on the grid and multiplying the numbers and checking if there is a difference of 10 between the answers, I have worked out a nth term rule. Which I would look like this:
