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

  • question_answer
    If the sum of the series \[54+51+48+.............\] is 513, then the number of terms are  [Roorkee 1970]

    A) 18

    B) 20

    C) 17

    D) None of these

    Correct Answer: A

    Solution :

    According to condition \[\Rightarrow \]\[513=\frac{n}{2}\left\{ 2\times 54+(n-1)(-3) \right\}\] \[\Rightarrow \]\[{{a}_{1}}+{{a}_{24}}=75\]\[\Rightarrow \] \[3{{n}^{2}}-111n+1026=0\] \[\Rightarrow \]\[n-2\] Hence\[n=18\].


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