question_answer

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)         \[\frac{31}{32}\]