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

  • question_answer
    The sum of \[1+3+5+7+.........\]upto \[n\] terms is  [MP PET 1984]

    A) \[{{(n+1)}^{2}}\]

    B) \[{{(2n)}^{2}}\]

    C) \[{{n}^{2}}\]

    D) \[{{(n-1)}^{2}}\]

    Correct Answer: C

    Solution :

    \[1+3+5+7+..........\]upto \[n\] terms. \[\Rightarrow \] \[{{S}_{n}}=\frac{n}{2}\left\{ 2\times 1+(n-1)2 \right\}={{n}^{2}}\].


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