24 57
25 62
The pattern in this table is for the T- Number it is plus one every time and for the T-Total it is plus five every time.
The nth term = 5N – 63
To find the nth tern I looked at the T – Number value and times it by the gap which is 5 and then subtracted by the first T-number to get the gap which in this case was 63.
Prediction
I predict that when the t - number is 27 the T – total will be 72, and also in an equation the T –number will be 28 and the T-Total will be 77 this is shown in the table below.
26 x 5 – 63 = 67
27 x 5 – 63 = 72
28 x 5 – 63 = 77
T-Number T-Total
18 34
19 39
20 44
21 49
The pattern in these tables is plus one every time in the T – Number and for the T – Total it is plus five very time.
The nth term = 5N – 56
To find the nth tern I looked at the T – Number value and times it by the gap which is 5 and then subtracted by the first T-number to get the gap which in this case was 56.
Prediction
I predict that when the t - number is 23 the T – total will be 59, and also in an equation the T –number will be 24 and the T-Total will be 64 this is shown in the table below.
22 x 5 – 56 = 54
23 x 5 – 56 = 59
24 x 5 – 56 = 64
T-Number T-Total
16 31
17 36
18 41
19 46
The pattern with this table is for the T number if plus one every time and for the T total it is plus five every time.
The nth term = 5N – 49
To find the nth tern I looked at the T – Number value and times it by the gap which is 5 and then subtracted by the first T-number to get the gap which in this case was 49.
Prediction
I predict that when the t - number is 21 the T – total will be 56, and also in an equation the T –number will be 22 and the T-Total will be 61 this is shown in the table below.
20 x 5 – 49 = 51
21 x 5 – 49 = 56
22 x 5 – 49 = 61
T – Number T – Total
14 28
15 33
16 38
The pattern for this table is for the T number is plus one and for the T total is plus five.
The nth term = 5N – 42
To find the nth tern I looked at the T – Number value and times it by the gap which is 5 and then subtracted by the first T-number to get the gap which in this case was 56.
Prediction
I predict that when the t - number is 18 the T – total will be 48, and also in an equation the T –number will be 19 and the T-Total will be 53 this is shown in the table below.
17 x 5 – 42 = 43
18 x 5 – 42 = 48
19 x 5 – 42 = 53
Formulas
3 x 3 = 19 + (5 x (r-8)
8 x 8 = 34 + (5 x (r–18)
9 x 9 = 37 + (5 x (r – 22)
10 x 10 = 40 + (5 x (r-22)
11 x 11 = 43 + (5x (r-24)
12 x 12 = 46 + (5 x (r-26)
These grids are to work out certain sizes; if you want to work out any size grin you can use the formula below.
(19 + 3 x (r – 3) + (5 x *t – 2 x (T + 1)
What I found out
In this investigation I have found out that this formula above will work out the sizes for any size grid.
