# Let's compute this manually!

Algebra Level 4

Let $$a$$ be a real number such that

$a=\frac{1}{1}+\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\cdots+\frac{1}{5050}.$

If $$a$$ can be expressed in the form $$\frac{x}{y}$$, where $$x,y$$ are coprime, positive integers, find $$x+y$$.

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