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

  • question_answer
    If x, \[{{G}_{1}}{{,}_{\ }}{{G}_{2}},\ y\]be the consecutive terms of a G.P., then the value of \[{{G}_{1}}\,{{G}_{2}}\]will be

    A) \[\frac{y}{x}\]

    B) \[\frac{x}{y}\]

    C) \[xy\]

    D) \[\sqrt{xy}\]

    Correct Answer: C

    Solution :

    We know that the product of two terms of a G.P. equidistant from beginning and end is equal to product of first and last term\[i.e.\]\[{{G}_{1}}.\ {{G}_{2}}=xy\].


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