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Statement - I :Mean of square of first n...

Statement - I :Mean of square of first n natural numbers is `((n+1)(2n+1))/(6)`
Statement - II : `Sigman=(n(n+1))/(2)`

A

Statement - I is true, Statement - II is true and Statement - II is a correct explanation for Statement - I.

B

Statement - I is true, Statement-II is true but Statement - II is not a correct expalnation of Statement - I.

C

Statement - I is true, Statement -II is false.

D

Statement -I is false, Statement -II is true.

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Mean of first n natural numbers is

    A
    `(n(n-1))/2`
    B
    `(n(n+1))/2`
    C
    `((n+1))/(2n`
    D
    `((n+1))/(2`
  • The sum of the squares of first n natural numbers is -

    A
    `n^(2)`
    B
    `(n(n+1))/(2)`
    C
    `(1)/(6)n(n+1)(2n+1)`
    D
    `[(n(n+1))/(2)]^(2)`
  • If the mean of first n natural numbers is equal to (n+7)/3 , then n is equal to

    A
    10
    B
    11
    C
    12
    D
    none of these
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