Philip Spicer
Maths coursework: Number Stairs
91
92
93
94
95
96
97
98
99
00
81
82
83
84
85
86
87
88
89
90
71
72
73
74
75
76
77
78
79
80
61
62
63
64
65
66
67
68
69
70
51
52
53
54
55
56
57
58
59
60
41
42
43
44
45
46
47
48
49
50
31
32
33
34
35
36
37
38
49
40
21
22
23
24
25
26
27
28
29
30
1
2
3
4
5
6
7
8
9
20
2
3
4
5
6
7
8
9
0
The problem:
I have to find a theory that links the relationship between the stair total and the position of the stair shape on the grid. I plan to do this is by comparing the grid width against the stair number (for this stair the bottom left hand square) to find an equation that relates it to the stair total ( the sum of all the numbers in the stair).
e.g. stair number 55:
55+56+57+65+66+75 = 374 (stair total)
I will then proceed not to just rotate the stair but change its size and see from these results if I can find one general equation which sums up the project.
Then I will plot these results onto a table and look to find an equation to solve them.
Stair no.
55
56
57
58
59
Stair total
374
380
386
392
398
To find an equation from this I will have to translate a stair into algebraic form:
Maths coursework: Number Stairs
91
92
93
94
95
96
97
98
99
00
81
82
83
84
85
86
87
88
89
90
71
72
73
74
75
76
77
78
79
80
61
62
63
64
65
66
67
68
69
70
51
52
53
54
55
56
57
58
59
60
41
42
43
44
45
46
47
48
49
50
31
32
33
34
35
36
37
38
49
40
21
22
23
24
25
26
27
28
29
30
1
2
3
4
5
6
7
8
9
20
2
3
4
5
6
7
8
9
0
The problem:
I have to find a theory that links the relationship between the stair total and the position of the stair shape on the grid. I plan to do this is by comparing the grid width against the stair number (for this stair the bottom left hand square) to find an equation that relates it to the stair total ( the sum of all the numbers in the stair).
e.g. stair number 55:
55+56+57+65+66+75 = 374 (stair total)
I will then proceed not to just rotate the stair but change its size and see from these results if I can find one general equation which sums up the project.
Then I will plot these results onto a table and look to find an equation to solve them.
Stair no.
55
56
57
58
59
Stair total
374
380
386
392
398
To find an equation from this I will have to translate a stair into algebraic form:
