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

  • question_answer
    If the third term of a G.P. is 4 then the product of its first 5 terms is [IIT 1982; RPET 1991]

    A) \[{{4}^{3}}\]

    B) \[{{4}^{4}}\]

    C) \[{{4}^{5}}\]

    D) None of these

    Correct Answer: C

    Solution :

    Given that \[a{{r}^{2}}=4\] Then product of first 5 terms \[=a(ar)(a{{r}^{2}})(a{{r}^{3}})(a{{r}^{4}})={{a}^{5}}{{r}^{10}}={{[a{{r}^{2}}]}^{5}}={{4}^{5}}\].


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