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Chameli Rajagopal
Asked: 2022-11-01T06:56:22+05:30 In:

The arithmetic mean of the series `1 , 3, 3^(2) , …., 3^(n-1)` is `”_______”`.
A. `(3^(n))/(2n)`
B. `(3^(n) – 1)/(2n)`
C. `(3^(n-1))/(n + 1)`
D. `(3^(n) + 1)/(2n)`

The arithmetic mean of the series `1 , 3, 3^(2) , …., 3^(n-1)` is `”_______”`.
A. `(3^(n))/(2n)`
B. `(3^(n) – 1)/(2n)`
C. `(3^(n-1))/(n + 1)`
D. `(3^(n) + 1)/(2n)`
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1 Answer

  1. Correct Answer – b
    `barx = (1 + 3 + 3^(2) + …+ 3^(n-1))/(n)`
    `= (1((3^(n) – 1)/(3-1)))/(n) = (3^(n) -1)/(2n)`

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