JEE Main & Advanced Mathematics Sequence & Series Question Bank Arithmetic Progression

  • question_answer
    The sum of first \[n\] natural numbers is [MP PET  1984; RPET 1995]

    A) \[n\,(n-1)\]

    B) \[\frac{n\,(n-1)}{2}\]

    C) \[n\,(n+1)\]

    D) \[\frac{n\,(n+1)}{2}\]

    Correct Answer: D

    Solution :

    We know that natural numbers are \[1,\ 2,\ 3,\ 4,\ ........n\] are in A.P. Now sum\[=\frac{n}{2}[2\times 1+(n-1)1]=\frac{n}{2}(n+1)\].


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