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

  • question_answer
    If the first  term of a G.P. be 5 and common ratio be \[-5\], then which term is 3125

    A) \[{{6}^{th}}\]

    B) \[{{5}^{th}}\]

    C) \[{{7}^{th}}\]

    D) \[{{8}^{th}}\]

    Correct Answer: B

    Solution :

    Given that first term \[a=5\] and common ratio \[r=-5\]. Suppose that \[{{n}^{th}}\]term is 3125, then \[a{{r}^{n-1}}=3125\Rightarrow 5{{(-5)}^{n-1}}=3125\Rightarrow {{(-5)}^{n-1}}={{5}^{4}}\] Hence\[\Rightarrow \].


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