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JEE Main & Advanced Sample Paper JEE Main Sample Paper-6

  • question_answer
    Directions: Question No. 81 are Assertion-Reason type. Each of these contains tow statements Statement I (Assertion), Statement II (Reason). Each of these questions also has four alternative choices, only on of which is correct. You have to select the correct choices from the codes a, b, c and d given below:   
    Statement I : If sum of n terms of a series is \[6{{n}^{2}}+3n+1,\] then the series is in AP.
    Statement II: The sum of n terms of an AP is always of the form an2 + bn.

    A)  Statement I is true; Statement II is true;  Statement II is not a correct explanation for  Statement I,

    B)  Statement I is true; Statement II is false.

    C)  Statement I is false; Statement II is true.

    D)  Statement I is true; Statement II is true; Statements is the correct explanation for Statement I.

    Correct Answer: C

    Solution :

    The sum of n terms of an AP \[=\frac{n}{2}[2A+(n-1)D],\]where A and D are first term and common difference. \[\therefore \]Statement I is false. It is true that sum always of the form an2 + bn. \[\therefore \]Statement II is true.


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