JEE Main & Advanced Mathematics Sequence & Series Question Bank Arithmetic Progression

  • question_answer
    If the sum of the 10 terms of an A.P. is 4 times to the sum of its 5 terms, then the ratio of first term and common difference is [RPET 1986]

    A) \[1:2\]

    B) \[2:1\]

    C) \[2:3\]

    D) \[3:2\]

    Correct Answer: A

    Solution :

    Under conditions, we get\[\frac{10}{2}\left\{ 2a+(10-1)d \right\}=4\left[ \frac{5}{2}\left[ 2a+(5-1)d \right] \right]\] \[\Rightarrow \]\[2a+9d=4a+8d\] or \[\frac{a}{d}=\frac{1}{2}\] Hence\[a:d=1:2\].


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