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

  • question_answer
    If the \[{{9}^{th}}\] term of an A.P. is 35  and  is 75, then its \[{{20}^{th}}\] terms will be  [RPET 1989]

    A) 78

    B) 79

    C) 80

    D) 81

    Correct Answer: B

    Solution :

    \[{{T}_{9}}=a+8d=35\] and \[{{T}_{19}}=a+18d=75\] Solving the equations, we get  \[d=4\] and \[a=3\] Hence \[{{20}^{th}}\] term of A.P. \[a+19d=3+19\times 4=79\].


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