Quite complex algebra problem
Algebra
Level
4
\[(1 + i) + (3 + 2i) + (5 + 3i) + \ldots + (x + yi) \]
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 \(x+y\).
by
Aman Sharma