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

  • question_answer
    The third term of a G.P. is the square of first term. If the second term is 8, then the \[{{6}^{th}}\] term is [MP PET 1997]

    A) 120

    B) 124

    C) 128

    D) 132

    Correct Answer: C

    Solution :

    \[{{a}^{2}}=a{{r}^{2}}\]\[\Rightarrow \]\[a={{r}^{2}}\]. Also \[ar=8\]\[\Rightarrow \]\[r=2\] and\[a=4\]. \[\therefore \]\[{{T}_{6}}=a{{r}^{5}}=4\times {{2}^{5}}=128\].


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