Complex number help?Watch

#1
've been asked to calculate what the following is:

(i)(i^2)(i^3)(i^4)..........(i^2 014) = ??

i know the individual values for the separate parts but unsure what the answer would be all together, a quick way to do this would be much appreciated
0
4 years ago
#2
(Original post by hannnahx)
've been asked to calculate what the following is:

(i)(i^2)(i^3)(i^4)..........(i^2 014) = ??

i know the individual values for the separate parts but unsure what the answer would be all together, a quick way to do this would be much appreciated
What's that last bit supposed to be. Assuming it's just a typo, add the powers and then simplify.

Edit: Oh, is it ?

Still, just add the powers and then simplify.
1
#3
Yeah typo sorry, thank you
0
4 years ago
#4
whatever number you get for the power, one way you could do it is you can then split it up again into "i`s" to read:

(a,b,c,d,and e are all small simple integers - well, you have to do slighly more for c - , so its easy)
0
4 years ago
#5
(Original post by hannnahx)
've been asked to calculate what the following is:

(i)(i^2)(i^3)(i^4)..........(i^2 014) = ??

i know the individual values for the separate parts but unsure what the answer would be all together, a quick way to do this would be much appreciated
Use the sum of a series to find the sum from 1 to 1024.
Also use the fact that (i^n) cycles through 4 different values every time you multiply.
0
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