One Stop GATE Forum: Mathematics doubt

Message

   i dont no why i m nt beiing able 2 solve
it,somehow the answers not comin.plz solve this.i no its a very easy
one so solve n get rated.
1+3/4+7/16+15/64+31/256+..............to infinity.

Author	Message
shilpa123 Senior Member Joined: 16May2007 Online Status: Offline Posts: 232	Topic: Mathematics doubt Posted: 16Aug2007 at 9:47pm
	i dont no why i m nt beiing able 2 solve it,somehow the answers not comin.plz solve this.i no its a very easy one so solve n get rated. 1+3/4+7/16+15/64+31/256+..............to infinity. Post Resume: Click here to Upload your Resume & Apply for Jobs

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renu123 Newbie Joined: 12Aug2007 Online Status: Offline Posts: 25	Posted: 16Aug2007 at 9:48pm
	s = 1+3/4+7/16+15/64+31/256+.............. (1) 4s=0+4+3+7/4+15/16+..............(2) subtracting 1 from 2 3s=4+2/4⁰+2²/4¹+2³/4²+...................... 3s=4+4(2/4+2²/4²+2³/4³+.......................... observe that 2/4+2²/4²+2³/4³+.......................... is in G.P 3s = 4+4* (2/4)/(1-(2/4)) 3s=8 s=8/3
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