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Investigate the number of winning lines in the game of connect 4.  

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Investigation Connect 4 X X X X Task This is a winning line in the game of connect 4 on a 4x5 board. Winning lines can be horizontal, vertical and diagonal. Investigate the number of winning lines in the game of connect 4. The task is asking me to find out how many winning lines (connects) when you are connecting 4 there are on any size board. What am I going to do •I am going to find out how many connect 4 there are in a 4x5 board. •I will change the size of the box, but keep one value the width constant. And I will find a pattern in the number of connects there are in the different size boxes. •I will use algebra to find a general formula for a NxWidth (W) box. •I will then increase the width (constant) by one and work out a formula for that box. •I will then find a pattern in the...

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