A) 1
B) \[\frac{{{5}^{n}}+1}{4}\]
C) \[{{4}^{n-1}}\]
D) \[\frac{{{5}^{n}}-1}{4}\]
E) \[{{5}^{n-1}}\]
Correct Answer: D
Solution :
Using \[{{z}^{n}}-1=(z-1)(z-\alpha )....(z-{{\alpha }^{n-1}})\] where \[{{z}^{n}}=1\] \[\therefore \]\[(5-\omega )(5-{{\omega }^{2}})....(5-{{\omega }^{n-1}})=\frac{{{5}^{n}}-1}{4}\]You need to login to perform this action.
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