JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Mock Test - Principle of Mathematical Induction

  • question_answer
    The sum to n terms of 1+3+5..is

    A) \[n\]                

    B) \[2n-1\]

    C) \[{{n}^{2}}\]             

    D) \[{{n}^{3}}\]

    Correct Answer: C

    Solution :

    [c] \[{{1}^{st}}\]term =1 =2-1, \[{{2}^{nd}}\]term =3 =4-1, \[{{n}^{th}}\]term is 2n-1 Therefore, \[\sum{(2n-1)=2.\frac{n(n+1)}{2}}-n={{n}^{2}}+n-n={{n}^{2}}\]


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