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Mathematics doubt

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Forum Name: Model Test Papers
Forum Discription: GATE Model Test Papers: Share what you have with others and discuss the questions.
URL: http://forum.onestopgate.com/forum_posts.asp?TID=1456
Printed Date: 19Feb2025 at 3:34pm


Topic: Mathematics doubt
Posted By: shilpa123
Subject: Mathematics doubt
Date 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.


Replies:
Posted By: renu123
Date 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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