Quite complex algebra problem

Algebra Level 4

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

The above shows a sum of an arithmetic progression with first term 1+i1+i and a common difference 2+i2 + i , where i=1i = \sqrt{-1} .

The final term of this sum is x+yix + yi for real numbers xx and yy.

If this sum is equal to 2500+1275i2500 + 1275i , submit your answer as x+yx+y.

×

Problem Loading...

Note Loading...

Set Loading...