# Quite complex algebra problem

Algebra Level 3

$(1 + i) + (3 + 2i) + (5 + 3i) + \ldots + (x + yi)$

The above shows a sum of an arithmetic progression with first term $1+i$ and a common difference $2 + i$, where $i = \sqrt{-1}$.

The final term of this sum is $x + yi$ for real numbers $x$ and $y$.

If this sum is equal to $2500 + 1275i$, submit your answer as $x+y$.

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