JEE Main & Advanced Mathematics Sequence & Series Question Bank nth term of special series, Sum to n terms and Infinite number of terms

  • question_answer
    \[\sum\limits_{m=1}^{n}{{{m}^{2}}}\] is equal to [RPET 1995]

    A)   \[\frac{m(m+1)}{2}\]

    B)   \[\frac{m(m+1)(2m+1)}{6}\]

    C)   \[\frac{n(n+1)(2n+1)}{6}\]

    D)   \[\frac{n(n+1)}{2}\]

    Correct Answer: C

    Solution :

    It is nothing but\[{{S}_{\infty }}=\frac{a}{1-r}=\frac{\sqrt{2}+1}{1-(\sqrt{2}-1)}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner