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J & K CET Engineering J and K - CET Engineering Solved Paper-2005

  • question_answer
    If S is the sum of an infinite GP, the first term a, then the common ratio r is given by

    A)  \[\frac{a-S}{S}\]

    B)  \[\frac{S-a}{S}\]

    C)  \[\frac{a}{1-S}\]

    D)  \[\frac{S-a}{a}\]

    Correct Answer: B

    Solution :

    Sum of an infinite \[GP=\frac{a}{1-r}=S\] \[\Rightarrow \] \[a=S(1-r)\] \[\Rightarrow \] \[a-S=-Sr\] \[\Rightarrow \] \[r=\frac{S-a}{S}\]


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