Find the arithmetic mean of the series $$ 1, 3, 5,\dots, (2n-1) $$

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Uniteasy Admin · Accepted Answer

Let $$ m $$ the arithmetic mean of the series  , $$ S_n $$ the sum of the series.

$$ m = \dfrac{S_n}{n} = \dfrac{\dfrac{(a_1+a_n)n}{2}  }{n} =\dfrac{a_1+a_n}{2} =\dfrac{2n-1+1}{2}=n $$

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