- #1
Zabopper
- 2
- 0
First of all, I hope I'm posting this in the appropriate forum and let me know if I'm not.
I did pretty okay on this practice test, but I never took complex analysis, though I've tried to teach myself the rudiments. Maybe that's not even the problem, but this seems kind of basic, something I shouldn't be missing. So I'm looking for help with how to solve this problem, and also suggestions for preparing for the exam so that I don't miss this category of problem come test day. Here it is:
If z = e^(2*pi *i / 5), then 1 + z + z^2 + z^3 +5*z^4 + 4*z^6 + 4*z^7 +4*z^8 +5*z^9 =
a)0
b) 4*e^(3*pi*i / 5)
c) 5*e^(4*pi*i / 5)
d) -4*e^(2*pi*i / 5)
e) -5*e^(3*pi*i / 5)
Thank you everyone!
I did pretty okay on this practice test, but I never took complex analysis, though I've tried to teach myself the rudiments. Maybe that's not even the problem, but this seems kind of basic, something I shouldn't be missing. So I'm looking for help with how to solve this problem, and also suggestions for preparing for the exam so that I don't miss this category of problem come test day. Here it is:
If z = e^(2*pi *i / 5), then 1 + z + z^2 + z^3 +5*z^4 + 4*z^6 + 4*z^7 +4*z^8 +5*z^9 =
a)0
b) 4*e^(3*pi*i / 5)
c) 5*e^(4*pi*i / 5)
d) -4*e^(2*pi*i / 5)
e) -5*e^(3*pi*i / 5)
Thank you everyone!