... the numbers in any given T, I will need to find the sum of any given T. Therefore: T2 =1+2+3+12+22. T2 = 40 T79 then as another example = 78 + 79 + 80 + 89 + 99 = 425 This equation can be written algebraically: Tx = x + (x +1) + (x -1) + (x +10) + (x +20) Tx = 5x +30 I will now need to test my equation in order to prove it is correct: Tx = 5x + 30 T54 = (5 x 54) +30 = 270 +30 = 300 And if I calculate T54 manually: 53+54+55+64+74=300 My equation works. However this is only on a grid length 10. If I enlarge the grid to say 15 columns this equation does not work, as illustrated below. A new equation needs to be formed: Investigation 2 - Increase the grid size and find another relevant equation. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 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 99 100 101 102 103 104 105 Now the ...

See this essay or coursework document in full right now