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

  • question_answer
    The first term of an A.P. is 2 and common difference is 4. The sum of its 40 terms will be [MNR 1978; MP PET 2002]

    A) 3200

    B) 1600

    C) 200

    D) 2800

    Correct Answer: A

    Solution :

    First term \[a=2\] and common difference \[d=4\]and\[n=40\]. Then \[{{S}_{n}}=\frac{n}{2}[2a+(n-1)d]\]          \[=20[4+39\times 4]=20[4+156]\]\[=160\times 20=3200\].


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