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neeed help on this sequence problem. watch

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    ive worked out the area but cant find a formula for the second please i need some biiig time help! thanks to anyone who can figure it out
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    Which one exactly are you stuck on?
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    (Original post by miml)
    Which one exactly are you stuck on?
    Is the area of the polygon related to the number of grid points inside and/or on the polygon?

    im stuck on that bit...ive been told we are meant to find some sort of formula linking the grid points to the area...but i caaant do it
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    Are we talking about that specific polygon, or a general polygon drawn on the grid?
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    (Original post by miml)
    Are we talking about that specific polygon, or a general polygon drawn on the grid?
    general 1..
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    (Original post by mathslover786)
    general 1..
    'I' conjecture...

    Let p be the number of dots on the polygon and k the number of dots in the polygon.

    Then the area of the polygon is given by p/2 + k - 1

    Proving this may be a bit more difficult. Induction is probably the way forward.

    EDIT: This is actually known as Pick's theorem.
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    (Original post by miml)
    'I' conjecture...

    Let p be the number of dots on the polygon and k the number of dots in the polygon.

    Then the area of the polygon is given by p/2 + k - 1

    Proving this may be a bit more difficult. Induction is probably the way forward.

    EDIT: This is actually known as Pick's theorem.
    your a geniussssssssssssss! repppp!
 
 
 
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