RAJASTHAN ­ PET Rajasthan PET Solved Paper-2004

  • question_answer
    If sum of n terms of an AP is\[2{{n}^{2}}+5n,\]then its nth term is

    A)  \[4n+3\]          

    B)  \[4n+5\]

    C)  \[4n+7\]          

    D)  \[4n+6\]

    Correct Answer: A

    Solution :

     Sum of n terms, \[{{S}_{n}}=2{{n}^{2}}+5n\] \[{{T}_{n}}={{S}_{n}}-{{S}_{n-1}}\] \[=2{{n}^{2}}+5n-[2{{(n-1)}^{2}}+5(n-1)]\] \[=2{{n}^{2}}+5n-2{{n}^{2}}-2+4n-5n+5\] \[=4n+3\]


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