Q. 85.0( 2 Votes )

# Express as a rational number.

Answer :

_{Let,x = 0.123123123….}

_{⇒} _{x = 0.123 + 0.000123 + 0.000000123 + …∞}

⇒ x = 123(0.001 + 0.000001 + 0.000000001 + …∞)

⇒ x = 123( + …∞)

This is an infinite geometric series.

Here,a and r =

⇒

Ans : _{=}

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