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  • Let S=4/19+44/19^2+444/19^3+........... upto. then S is equal to.

Let S=4/19+44/19^2+444/19^3+........... upto. then S is equal to.

Answers (1)

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Solution:  

            S=4/19+44/19^2+444/19^3+...........hspace0.5cm.........(1)

   (1/19)S=4/19^2+44/19^3+...hspace0.5cm.........(2)

     Subtracting (2) from (1) , We get

     (18/19)S=4/19+40/19^2+400/19^3+.....

 Rightarrow       S=(19/18) imes (4/9)=38/81  Ans

Posted by

Deependra Verma

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