# An algebra problem by Akshay Sharma

Algebra Level pending

$x_{n+1}=\frac{x_n+x_n^2}{1+x_n+x_n^2};x_1=\frac{1}{2}$ If {$$x_n$$} is a sequence of numbers such that they satisfy the recurrence relation above $\frac{1}{x_1+1}+\frac{1}{x_2+1}+\frac{1}{x_3+1}+......\frac{1}{x_{2012}+1}+\frac{1}{x_{2013}}$

If the value of above expression is $$N$$.Then find value of $$\frac{(N - 2)}{4}$$

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