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

  • question_answer
    If s is the sum of an infinite G.P., the first term a then the common ratio r given by [J & K 2005]

    A) \[\frac{a-s}{s}\]

    B) \[\frac{s-a}{s}\]

    C) \[\frac{a}{1-s}\]

    D) \[\frac{s-a}{a}\]

    Correct Answer: B

    Solution :

    \[s=\frac{a}{1-r}\] Þ \[s-sr=a\] Þ \[-sr=a-s\] Þ \[r=\frac{s-a}{s}\].


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