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  • 10-03-2019
  • Mathematics
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find the average of the first n positive even numbers

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5naka
5naka 5naka
  • 10-03-2019

the sum of first n positive even numbers is an arithmetic series with first term and difference 2, then the average is

[tex]\frac{\frac{n(2(2)+(2(n-1))}{2}}{n}

\\=\frac{2(2)+2(n-1)}{2}

\\=2+n-1=n+1[/tex]

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