Student Reflections on Sequences


To end class today, students were asked to compare/contrast Arithmetic and Geometric Sequences. 

Leave it to me not to snap a pic of some of their thoughts.  Many you would expect…a starting value, n-1, repeated operations, etc.

One student made the statement that “they both involved positive operations.”

Me:  Hmm?  What do you mean by that? 

S: “I see addition and multiplication as positive operations.  Even when we were subtracting, I defined it as adding a negative value.  When I was dividing, I defined it as multiplication by a decimal or fraction factor.”

Hmm.  That thought has kept coming back all through the day…not sure why I keep pondering on it.

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