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Question-179301




Question Number 179301 by cherokeesay last updated on 28/Oct/22
Answered by som(math1967) last updated on 28/Oct/22
 ar^5 =768  a×36r^2 =3456   ((ar^5 )/(a×36r^2 ))=((768)/(3456))  ⇒r^3 =8⇒r=2   ar^5 =768⇒a=((768)/(32))=24
$$\:{ar}^{\mathrm{5}} =\mathrm{768} \\ $$$${a}×\mathrm{36}{r}^{\mathrm{2}} =\mathrm{3456} \\ $$$$\:\frac{{ar}^{\mathrm{5}} }{{a}×\mathrm{36}{r}^{\mathrm{2}} }=\frac{\mathrm{768}}{\mathrm{3456}} \\ $$$$\Rightarrow{r}^{\mathrm{3}} =\mathrm{8}\Rightarrow{r}=\mathrm{2} \\ $$$$\:{ar}^{\mathrm{5}} =\mathrm{768}\Rightarrow{a}=\frac{\mathrm{768}}{\mathrm{32}}=\mathrm{24} \\ $$$$ \\ $$
Commented by cherokeesay last updated on 28/Oct/22
thank you so much sir.
$${thank}\:{you}\:{so}\:{much}\:{sir}. \\ $$

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