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

  • question_answer
    The sum of the series \[5.05+1.212+0.29088+...\,\infty \] is   [AMU 2000]

    A) 6.93378

    B) 6.87342

    C) 6.74384

    D) 6.64474

    Correct Answer: D

    Solution :

    Clearly it is a infinite G.P. whose common ratio is 0.24. \[\therefore {{S}_{\infty }}=\frac{a}{1-r}=\frac{5.05}{1-0.24}=6.64474\].


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