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If the sum of first n even natural numb...

If the sum of first `n` even natural numbers is 420, find the value of `ndot`

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AI Generated Solution

To solve the problem of finding the value of \( n \) such that the sum of the first \( n \) even natural numbers is 420, we can follow these steps: ### Step 1: Understand the series of even natural numbers The first \( n \) even natural numbers can be represented as: \[ 2, 4, 6, \ldots, 2n \] ### Step 2: Use the formula for the sum of an arithmetic series The sum \( S_n \) of the first \( n \) even natural numbers can be calculated using the formula for the sum of an arithmetic series: ...
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Knowledge Check

  • The sum of first 20 even natural numbers is

    A
    420
    B
    200
    C
    210
    D
    400
  • What is the sum of first n natural numbers ?

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

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