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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2005

  • question_answer
        Fifth term of an G.P. is 2, then the product of its 9 terms is

    A)  256                                       

    B)  512

    C)  1024                                     

    D)  none of these

    Correct Answer: B

    Solution :

                    \[a{{r}^{4}}=2\]                                     ...(i) \[a\times ar\times a{{r}^{2}}a{{r}^{3}}\times a{{r}^{4}}\times a{{r}^{5}}\times a{{r}^{6}}\times a{{r}^{7}}\times a{{r}^{8}}\] \[={{a}^{9}}{{r}^{36}}={{(a{{r}^{4}})}^{9}}={{2}^{9}}=512\]


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