Starting at 10, each new term is [math]\frac{5}{2}[/math] less than the previous term.[br]
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[/img]
[math]g(1)=\text{-}5,g(n)=g(n-1)\cdot\text{-}2[/math] for[math]n\ge2[/math]
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[/img]
[list][*]For each match that you find, explain to your partner how you know it’s a match.[/*][*]For each match that your partner finds, listen carefully to their explanation. If you disagree, discuss your thinking and work to reach an agreement.[/*][/list][br]There is one sequence and one definition that do not have matches. Create their corresponding match.[br][br]
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[/img][br]Write a recursive definition for the total number of small squares [math]S(n)[/math] in Step [math]n[/math].[br]
Is this sequence geometric, arithmetic, or neither? Be prepared to explain how you know.
[size=150]If you make 1 cut, you have 2 pieces. If you make 2 cuts, you can have a maximum of 4 pieces. If you make 3 cuts, you can have a [i]maximum[/i] of 7 pieces.[/size]
Can you find a function that gives the maximum number of pieces from [math]n[/math] cuts?[br]