Multiple Choice Question (MCQ)

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

  1. n

  2. ×

    n+1

  3. ×

    n-1

  4. ×

    2n-2

Collected in the board: Arithmetic sequence

Steven Zheng posted 3 months ago


Answer

  1. 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


Steven Zheng posted 3 months ago

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