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SSC Quantitative Aptitude Number System and its Operations Question Bank Number Series and Sequences (II)

  • question_answer
    The number of terms in the series \[1+3+5+7+...+73+75\] is

    A) 28

    B) 30

    C) 36

    D) 31

    Correct Answer: D

    Solution :

    [d] Let the number of terms be n. It is an arithmetic series whose first term, \[a=1\] and common difference, \[d=2\] \[\therefore \] nth term \[=a+(n-1)\,\,d\] \[\Rightarrow \]   \[75=1+(n-1)\,2\] \[\Rightarrow \]   \[2\,\,(n-1)=74\] \[\Rightarrow \]   \[n-1=\frac{74}{2}=37\] \[\therefore \]      \[n=37+1=38\]


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