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10th Class Mathematics Arithmetic Progressions Question Bank Arithmetic Progressions

  • question_answer
    If\[{{\text{1}}^{\text{3}}}+{{\text{2}}^{\text{3}}}+.....+{{\text{m}}^{\text{3}}}=\text{3}0\text{25}\], find m.

    A)  12                         

    B)         10  

    C)  17                         

    D)         12

    Correct Answer: B

    Solution :

     Sum of cubes of 1st 'm' natural numbers                 \[L.C.M.=\frac{140\times 605}{11}=7700\] Hence, m = 10.


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