10th Class Mathematics Arithmetic Progressions Question Bank Arithmetic Progressions

  • question_answer
    Find the sum of\[\left( 1-\frac{1}{n} \right)+\left( 1-\frac{2}{n} \right)+\left( 1-\frac{3}{n} \right)....\]terms.

    A)  \[\frac{n}{2}\]                        

    B)        \[\frac{n-1}{2}\]

    C)  \[\frac{n+1}{2}\]            

    D)         \[\frac{n(n+1)}{{{n}^{2}}}\]

    Correct Answer: B

    Solution :

     (1 + 1 + ....... 'n' terms) \[\text{6}0={{\text{2}}^{\text{2}}}\times \text{3}\times \text{5}\] \[\therefore \] \[={{2}^{2}}\times 3\times 5\times 2=120\] \[f(p)={{\text{p}}^{\text{3}}}+\text{6}{{\text{p}}^{\text{2}}}+\text{lip}+\text{6}\]


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