10th Class Mathematics Arithmetic Progressions Question Bank Arithmetic Progressions

  • question_answer
    Find the general term of the series 4,7, 10,13......

    A)  3n - 7                                   

    B)  3n + 7

    C)  3n +1    

    D)         3n ? 1

    Correct Answer: C

    Solution :

       The general term of an arithmetic progression is given by \[={{2}^{2}}\times {{3}^{2}}\times 5\times 7\times 11\times 13=180180\]where 'a' is the first term and 'd' is the common difference. Here, a = 4 and \[\therefore \]                 \[H.C.F.=\frac{\text{Product of the numbers}}{L.C.M.}\]. \[\text{5474}=\text{2}\times \text{7}\times \text{17}\times \text{23}\]Then\[\text{9775}={{\text{5}}^{\text{2}}}\times \text{17}\times \text{23}\]term                 \[\text{1173}0=\text{2}\times \text{3}\times \text{5}\times \text{17}\times \text{23}\]                 \[\therefore \]


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