question_answer

Find the median of the data \[\mathbf{a,}\,\,\mathbf{ar,}\,\,\mathbf{a}{{\mathbf{r}}^{\mathbf{2}}}\mathbf{,}\] ______, \[\mathbf{a}{{\mathbf{r}}^{\mathbf{n}}}\]where n is an odd number.

A) \[\frac{a}{2}(1+r)\,{{r}^{\frac{n+1}{2}}}\]                                                     

B)  \[\frac{a}{2}(1-r)\,{{r}^{\frac{n+1}{2}}}\]

C)  \[\frac{a}{2}(1+r)\,{{r}^{\frac{n-1}{2}}}\]                                                      

D)  \[\frac{a}{2}(1-r)\,{{r}^{\frac{n-1}{2}}}\]

E)  None of these