A) \[0\le x\le 10\]
B) \[-10<x<10\]
C) \[0<x<10\]
D) \[-10\le x\le 0\]
Correct Answer: C
Solution :
\[\frac{x}{1-r}=5\Rightarrow r=1-\frac{x}{5}\] Since G.P. contains infinite terms \[\therefore \,\,-1<r<1\] \[\Rightarrow \,\,-1<1-\frac{x}{5}<1\Rightarrow -2<-\frac{x}{5}<0\] \[\Rightarrow \,\,-10<-x<0.\] \[\Rightarrow \,\,0<x<10.\]
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