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

  • question_answer
    If in an infinite G.P. first term is equal to the twice of the sum of the remaining terms, then its common ratio is [RPET 2002]

    A) 1

    B) 2

    C) 1/3

    D) - 1/3

    Correct Answer: C

    Solution :

    Given, \[a=2\left( \frac{ar}{1-r} \right)\]\[\Rightarrow 1-r=2r\]\[\Rightarrow r=\frac{1}{3}\].


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