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Statement-1 :The A.M. of series 1,2,4,8,...

Statement-1 :The A.M. of series 1,2,4,8,16,…… `2^n` is `(2^(n+1)-1)/(n+1)`
Statement-2 : Arithmetic mean (A.M.) of ungrouped data is `(Sigmax_i)/n` where `x_1,x_2`…. `x_n` are n numbers .

A

Statement-1 is True, Statement-2 is True , Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2 is True , Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is True , Statement-2 is False

D

Statement-1 is False , Statement-2 is True

Text Solution

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Knowledge Check

  • The Am of the series 1,2,4,8,16,…,2^n is

    A
    `(2^n-1)/n`
    B
    `(2^(n+1)-1)/n`
    C
    `(2^n+1)/n`
    D
    `(2^n-1)/(n+1)`

  • The arithmetic mean of the series 1,2,2^(2) ,…….2^(n-1) is

    A
    `2^(n)//n`
    B
    ` (2^(n) -1) //n`
    C
    ` (2^(n+1) )//n`
    D
    none of these