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If the sum of n terms of an A.P. is 2n^2...

If the sum of `n` terms of an A.P. is `2n^2+5n ,\ ` then its nth term is
a.`4n-3` b. `3n-4` c. `4n+3` d. `3n+4`

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To find the nth term of the arithmetic progression (A.P.) given that the sum of the first n terms is \( S_n = 2n^2 + 5n \), we can follow these steps: ### Step 1: Write the formula for the sum of n terms of an A.P. The sum of the first n terms of an A.P. can be expressed as: \[ S_n = \frac{n}{2} \left(2a + (n-1)d\right) \] where \( a \) is the first term and \( d \) is the common difference. ...
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If the sum of n terms of an A.P.is 2n^(2)+3n then write its nth term.

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Knowledge Check

  • If the sum of first n terms of an A.P. is 3n^(2)-2n , then its 19th term is

    A
    123
    B
    118
    C
    109
    D
    107
  • If the sum of n terms of an A.P. is 2n^(2)+5n then the n^(th) term will be

    A
    `4n+3`
    B
    `4n+5`
    C
    `4n+6`
    D
    `4n+7`
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