This is the series 4+ 7 + 10 + 13 In other words it is Consider the bars and how the represent the numbers in the sequence, and how the total sum of all.

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Presentation transcript:

This is the series In other words it is Consider the bars and how the represent the numbers in the sequence, and how the total sum of all of the bars has a certain area. Well, clone this series of terms, and combine them to make a rectangle. This will happen for ALL arithmetic sequences. The area of a rectangle is given by A= width x height, so in this case 4(4+13) OR n(a 1 + a n ) But, we are only interested in half of this rectangle so divide by two, and we get.

^ is a sequence ^