Question Number 56801 by necx1 last updated on 24/Mar/19
$${The}\:{product}\:{of}\:{three}\:{consecutive}\:{terms} \\ $$$${of}\:\mathrm{4}.\:{The}\:{sum}\:{of}\:{the}\:{GP}\:{is}\:−\frac{\mathrm{7}}{\mathrm{3}}.\:{Find} \\ $$$${the}\:{GP} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 24/Mar/19
$$\boldsymbol{{recheck}}\:\boldsymbol{{the}}\:\boldsymbol{{question}}... \\ $$$$\boldsymbol{{i}}\:\boldsymbol{{think}}\:\frac{\boldsymbol{{a}}}{\boldsymbol{{r}}}×\boldsymbol{{a}}×\boldsymbol{{ar}}=\mathrm{4}\:\:\:\: \\ $$$${a}=\mathrm{4}^{\frac{\mathrm{1}}{\mathrm{3}}} \\ $$$$\boldsymbol{{and}}\:\frac{\boldsymbol{{a}}}{\boldsymbol{{r}}}+\boldsymbol{{a}}+\boldsymbol{{ar}}=\frac{−\mathrm{7}}{\mathrm{3}} \\ $$$$ \\ $$$$\boldsymbol{{but}}\:\boldsymbol{{not}}\:\:{S}=\frac{−\mathrm{7}}{\mathrm{3}}=\frac{{a}\left(\mathrm{1}−{r}^{{n}} \right)}{\mathrm{1}−{r}} \\ $$$$ \\ $$