... = 49 so 2B + C = 45 we now solve the simultaneous equation B + C = 63 2 B + C = 45 ?- B = 18 OR B = - 18 if B = - 18 then C = 63 - (-18)=81 so the formula is yn = n - 18n + 81 if we factories the equation yn = (n-9) (n-9) ?yn = (n-9) To prove the formula is correct use any term in the sequence, I will use the fourth term. Y4 = 4 - 18 x 4 +81 =16 - 18 x 4 +81 = 25 It can be seen from these results that the fourth term on and 8x8 board is indeed 25thus proving the formula is correct. Using the factorized formula yn (n-9) we can further prove using the fifth term Yn = (5-9) = 4 = 16 it can be seen from the table the fifth ...

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