JCECE Engineering JCECE Engineering Solved Paper-2006

  • question_answer
    Fifth term of a \[GP\] 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) Let \[a\] be the first term and \[r\] be the common ratio, then according to the given condition. Since,    \[a\times ar\times a{{r}^{2}}\times a{{r}^{3}}\times a{{r}^{4}}\times a{{r}^{5}}\] \[\times a{{r}^{6}}\times a{{r}^{7}}\times a{{r}^{8}}\]                 \[={{a}^{9}}{{r}^{36}}={{(a{{r}^{4}})}^{9}}={{2}^{9}}=512\]


You need to login to perform this action.
You will be redirected in 3 sec spinner