A) \[\frac{3}{5}\]
B) \[\frac{5}{3}\]
C) \[\frac{2}{3}\]
D) \[\frac{3}{2}\]
Correct Answer: A
Solution :
Here \[\frac{{{S}_{3}}}{{{S}_{6}}}=\frac{125}{152}\Rightarrow \frac{a({{r}^{3}}-1)/(r-1)}{a({{r}^{6}}-1)/(r-1)}=\frac{125}{152}\] \[\Rightarrow \]\[({{r}^{3}}-1)152=125({{r}^{6}}-1)\Rightarrow {{r}^{3}}=\frac{27}{125}\Rightarrow r=\frac{3}{5}\].
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