Solve this equation

For students of class 9-10 (age 14-16)
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Fahim Shahriar
Posts:138
Joined:Sun Dec 18, 2011 12:53 pm
Solve this equation

Unread post by Fahim Shahriar » Fri Feb 03, 2012 9:54 pm

\[\frac{2}{3}[1+\frac{1}{1+x}+\frac{1}{(1+x)^{3}}+\frac{1}{(1+x)^{5}}+.........] = 1\]
:?:
Name: Fahim Shahriar Shakkhor
Notre Dame College
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Tahmid Hasan
Posts:665
Joined:Thu Dec 09, 2010 5:34 pm
Location:Khulna,Bangladesh.

Re: Solve this equation

Unread post by Tahmid Hasan » Fri Feb 03, 2012 10:11 pm

already posted. :twisted:
বড় ভালবাসি তোমায়,মা
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sm.joty
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Joined:Thu Aug 18, 2011 12:42 am
Location:Dhaka

Re: Solve this equation

Unread post by sm.joty » Fri Feb 03, 2012 10:22 pm

Normal calculation by considering a geometric progression. Use $\frac{1}{1+x}=a$

ans is $\frac{-2-\sqrt(10)}{3}$
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