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

  • question_answer
    If the first term of an A.P. be 10, last term is 50 and the sum of all the terms is 300, then the number of terms are [RPET 1987]

    A) 5

    B) 8

    C) 10

    D) 15

    Correct Answer: C

    Solution :

    Given that first term\[a=10\], last term \[l=50\] and sum \[S=300\] \[\therefore \ \ S=\frac{n}{2}(a+l)\]\[\Rightarrow \]\[300=\frac{n}{2}(10+50)\]\[\Rightarrow \]\[n=10\].


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