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KVPY Sample Paper KVPY Stream-SX Model Paper-31

  • question_answer
    Sum of the series \[1+2.3+3.5+4.7+...\] up to 11 terms is:

    A) 942

    B) 892      

    C) 946      

    D) 960

    Correct Answer: C

    Solution :

    \[1.1+2.3+3.5+4.7+...\]upto 11 terms
    \[=\sum\limits_{r=1}^{11}{r.(2r-1)}\]
    \[=2\sum\limits_{r=1}^{11}{{{r}^{2}}}-\sum\limits_{r=1}^{11}{r}\]
    \[=\frac{2.(11)(12)(23)}{6}-\frac{11(12)}{2}\]
    \[=44(23)-11(6)=946.\]


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