Coursework.Info - Inspiration in an Instant

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I will now investigate different size grids. An 11 by 11 1 2 3 n=24 12 13 14 23 24 25 T=n+ (n-11) + (n-23) + (n-22) + (n-21) T=5n-77 Now test this: 24 25 26 n=47 35 36 37 T=5n - 77 46 47 48 T= (5 x 47) - 77 T=158 Check 24+25+26+36+47 =158 So this formula does work. A 6x6 grid 1 2 3 n=14 7 8 9 13 14 15 T=0 + (n-6) + (n-12) + (n-13) + (n -11) T=5n-42 Now to test it. 8 9 10 n=21 14 15 16 20 21 22 T=5n -42 T=(5x21)-42 T=105-42 T=63 Check T=8+9+10+15+21 T=63 So the formula is correct. I will now compare the formulas for the different grid sizes. 11 x 11= 5n - 77= 11x7= 77 9 x 9= 5n - 63 = 9x7= 63 6 x 6= 5n - 42 = 6 x 7= 42 5n is consistent because the T shape is always the same size. (With the same amount of numbers in side the T shape) The numbers which are underlined are all divisible by 7. This means that if you know the...

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