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The sum of n terms of a series is (2n^(2...

The sum of n terms of a series is `(2n^(2)+n)`.Show that it is an A.P. .

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The sum of n terms of a series is n(n+1) . Prove that it is an A.P. also find its 10th term.

(a) The sum of 'n' terms of a progression is n(n + 1). Prove that it is an A..P. Also find its 10th term. (b) The sum of 'n' terms of a progression is (3n^(2) - 5n). Prove that it is an A.P. (c) If the sum of n terms of a series is (5n^(2) + 3n) then find its first five terms.

Knowledge Check

  • If the sum of n terms of an A.P. is 2n^(2)+5n , then its n^(th) term

    A
    A. `4n-3`
    B
    B. `3n-4`
    C
    C. `4n+3`
    D
    D. `3n +9`

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