T-total.I have taken the T-shape template from the example and moved it along the row from the T-number 20 to 26. I will then work out the T-total of each T-number by adding all the numbers in the T-shape.

Authors Avatar

T-total Coursework

Part 1 – Investigate the relationship between the T-total and the             T-number

T-shape 

T-number

I have taken the T-shape template from the example and moved it along the row from the T-number 20 to 26. I will then work out the T-total of each T-number by adding all the numbers in the T-shape. The results were as follows:

I have found a pattern emerging, which is, as the T-number increases by 1 the T-total increases by 5. I will try and find out the relationship between the T-total and the other numbers in the T-shape.

I have chosen a random T-number of 60 and will try and find a relationship between all of the other numbers in the T-shape.

First I will try and take away all the other numbers from the T-number:

60-41 = 19

60-42 = 18

60-43 = 17

60-51 = 9

I will now try the same thing again but using a different T-number to see if the same pattern occurs:

I will use the T-number

of 31

31-12 = 19

31-13 = 18

31-14 = 17

31-22 = 9

I have found the same pattern occurring with every T-number. I will now put this information into algebraic form so I can get formulae. I will use the first T-number

Join now!

I will call the T-number Tn

Tn=60

Tn + 41 + 42 + 43 +51 = T-total

                                =237

I have shown by this line of algebra that the 5 numbers added together equals the T-total (the T-number plus the other 4 numbers in the T-shape). Which equals 237.

I will now substitute in the formulae the difference between the T-number and the other numbers in the T-shape:

Tn + Tn-19 + Tn–18 + Tn-17 + Tn-9 = 237

I have changed the formulae into a simplified one by finding the difference between each number ...

This is a preview of the whole essay