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

  • question_answer
    The first and last terms of a G.P. are \[a\] and \[l\] respectively; \[r\] being its common ratio; then the number of terms in this G.P. is

    A)   \[\frac{\log l-\log a}{\log r}\]

    B) \[1-\frac{\log l-\log a}{\log r}\]

    C)   \[\frac{\log a-\log l}{\log r}\]

    D) \[1+\frac{\log l-\log a}{\log r}\]

    Correct Answer: D

    Solution :

    \[l=a{{r}^{n-1}}\]\[\Rightarrow \]\[a,\ b,\ c,\ d\]\[\Rightarrow \]\[b\].


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