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10th Class Mathematics Arithmetic Progressions Question Bank Arithmetic Progressions

  • question_answer
    If\[{{m}^{th}}\]term of an arithmetic progression is 'n' and\[{{n}^{th}}\]term is 'm', find its\[{{(m+n)}^{th}}\]term.

    A)  0                            

    B)         \[\text{m}+\text{n}-\text{p}\]

    C)  \[\text{m}+\text{n}\]                  

    D)         \[\frac{mn}{m+n}\]

    Correct Answer: A

    Solution :

                    \[\text{1}00\text{1}=\text{91}\times \text{1}0+\text{91}\]                         ....(1)                 \[\text{91}0=\text{91}\times \text{1}0+0\]                         ....(2) Subtracting (2) from (1), we get Solving the two equations, we get \[\therefore \]and \[=\left( \frac{144}{48}+\frac{384}{48}+\frac{240}{48} \right)=3+8+5=16\] \[\frac{a}{b}\] \[\frac{c}{d}=\frac{L.C.M.(a,c)}{H.C.F.(b,d)}\]                                 \[\Rightarrow \]


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