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JEE Main & Advanced Sample Paper JEE Main Sample Paper-32

  • question_answer
    Let S be the sum of the first n terms of the arithmetic sequence 8, 12, 16,....., and T be the sum of first n terms of arithmetic sequence 17,19,21......... If S-T=0, then n is equal to

    A) 8      

    B)                                    10

    C) 18       

    D)                                    22

    Correct Answer: B

    Solution :

    \[S=\frac{n}{2}[16+4(n-1)];\,T=\frac{n}{2}[34+2(n-1)]\]                 \[\therefore \,\,\,S-T=0\Rightarrow \,16+4n-4=34+2n-2\]                 \[\Rightarrow \,4n+12=32+2n\]                 \[\Rightarrow \,2n=20\Rightarrow n=10\]


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