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JCECE Engineering JCECE Engineering Solved Paper-2005

  • question_answer
    If the third term of a \[GP\] is \[p\]. Then the product of the first \[5\] terms of the \[GP\] is:

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

    B) \[{{p}^{2}}\]

    C) \[{{p}^{10}}\]                                    

    D) \[{{p}^{5}}\]

    Correct Answer: D

    Solution :

    Let the first term and common ratio of a \[GP\] series be \[a\] and \[r\] respectively. According to the given condition                 \[a{{r}^{2}}=p\]                                ... (i) \[\therefore \]  \[a\cdot ar\cdot a{{r}^{2}}\cdot a{{r}^{3}}\cdot a{{r}^{4}}={{(a{{r}^{2}})}^{5}}\]                 \[={{p}^{5}}\]                                           [from (i)]


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