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

  • question_answer
    If the 9th term of an A.P. be zero, then the ratio of its  29th  and 19th  term is

    A) 1 : 2

    B) 2 : 1

    C) 1 : 3

    D) 3 : 1

    Correct Answer: B

    Solution :

    Given that \[{{9}^{th}}\] term  \[=a+(9-1)d=0\]\[\Rightarrow a+8d=0\] Now ratio of \[{{29}^{th}}\] and \[{{19}^{th}}\] terms \[=\frac{a+28d}{a+18d}=\frac{(a+8d)+20d}{(a+8d)+10d}=\frac{20d}{10d}=\frac{2}{1}\].


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