JEE Main & Advanced Mathematics Sequence & Series Question Bank nth term of special series, Sum to n terms and Infinite number of terms

  • question_answer
    First term of the \[{{11}^{th}}\]group in the following groups (1),         (2, 3, 4), (5, 6, 7, 8, 9),???.is

    A) 89

    B) 97

    C) 101

    D) 123

    Correct Answer: C

    Solution :

    The required term is the \[{{11}^{th}}\] term of the series \[1+2+5+10+17+26+37+50+65+82+101+......\] Aliter: \[{{n}^{th}}\] term of the series \[1+2+5+10+17+.......\]is \[{{(n-1)}^{2}}+1\] \[\therefore \]\[{{T}_{11}}={{10}^{2}}+1=101\].


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