Given that\[(1-x)(1+x+{{x}^{2}}+{{x}^{3}}+{{x}^{4}})\]is \[\frac{31}{32}\] and \[x\] is a rational number, what is\[1+x+{{x}^{2}}+{{x}^{3}}+{{x}^{4}}+{{x}^{5}}\]?

Given that\[(1-x)(1+x+{{x}^{2}}+{{x}^{3}}+{{x}^{4}})\]is \[\frac{31}{3

1.	Given that\[(1-x)(1+x+{{x}^{2}}+{{x}^{3}}+{{x}^{4}})\]is \[\frac{31}{32}\] and \[x\] is a rational number, what is\[1+x+{{x}^{2}}+{{x}^{3}}+{{x}^{4}}+{{x}^{5}}\]?
A.	\[\frac{31}{64}\]
B.	\[\frac{63}{32}\]
C.	\[\frac{63}{64}\]
D.	\[\frac{31}{32}\]
Answer» C. \[\frac{63}{64}\]

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Given that\[(1-x)(1+x+{{x}^{2}}+{{x}^{3}}+{{x}^{4}})\]is \[\frac{31}{32}\] and \[x\] is a rational number, what is\[1+x+{{x}^{2}}+{{x}^{3}}+{{x}^{4}}+{{x}^{5}}\]?

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