10th Class Mathematics Arithmetic Progressions Question Bank Arithmetic Progressions

  • question_answer
    Which is the first negative term of the arithmetic progression 35, 30, 25,.....?

    A)  7th term       

    B)         5th term

    C)  9th term       

    D)         11th term

    Correct Answer: C

    Solution :

     The given arithmetic progression is 35, 30, 25, ..... Here, a = 35 and d = (-5). \[=\text{17}\times \text{23}=\text{391}\]term, \[=\text{2}\times \text{3}\times {{\text{5}}^{\text{2}}}\times \text{7}\times \text{l7}\times \text{23}=\text{41}0\text{55}0\]                 \[\pi \] For the first negative term, \[\frac{22}{7}\] \[\frac{22}{7}\] \[\pi \] \[\text{4}0={{\text{2}}^{\text{3}}}\times \text{5}\]         \[\text{6}0={{\text{2}}^{\text{2}}}\times \text{3}\times \text{5}\]            \[\therefore \]  \[={{2}^{2}}\times 3\times 5\times 2=120\] \[f(p)={{\text{p}}^{\text{3}}}+\text{6}{{\text{p}}^{\text{2}}}+\text{lip}+\text{6}\]          \[f(p)\]


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