Question

the imaginary number i is defined such that i2(square) =-1. what does i+i2(square)+i3(cube)+.......i49 equal?

Answer 1

Well you can use the geometric series formula. Look at the formula here : http://www.purplemath.com/modules/series5.htm
Here \(a=i\) and \(r=i\). Give it a try and if you have any question you can come back here.