Solution: Let the three numbers be $a / r, a, ar$ According to the question $\mathrm{a} / \mathrm{r}+\mathrm{a}+\mathrm{ar}=39 / 10 \ldots$ eq. (1) $\mathrm{a} / \mathrm{r} \times \mathrm{a} \times...
The product of three numbers in G.P. is 125 and the sum of their products taken in pairs is 871 / 2. Find them.
Solution: Let the three numbers be $a/r$, $a$, $ar$ According to the question $\mathrm{a} / \mathrm{r} \times \mathrm{a} \times \mathrm{ar}=125 \ldots$ eq.(1) From eq.(1) we obtain,...
The sum of first three terms of a G.P. is 13 / 12, and their product is -1 . Find the G.P.
Solution: Let the three numbers be $a/r$, $a$, $ar$ According to the question $\mathrm{a} / \mathrm{r}+\mathrm{a}+\mathrm{ar}=13 / 12 \ldots$ eq. (1) $\mathrm{a} / \mathrm{r} \times \mathrm{a}...
Find three number in G.P. whose sum is 38 and their product is 1728.
Solution: Let the three numbers be $\mathrm{a} / \mathrm{r}, \mathrm{a}$, $ar$ According to the question, $\mathrm{a} / \mathrm{r}+\mathrm{a}+\mathrm{ar}=38 \ldots$ eq.(1) $\mathrm{a} / \mathrm{r}...
Find three numbers in G.P. whose sum is 65 and whose product is 3375.
Solution: According to the question $\mathrm{a} / \mathrm{r}+\mathrm{a}+\mathrm{ar}=65 \ldots$ equation (1) $a / r \times a \times a r=3375 \ldots$ equation (2) From eq.(2) we obtain,...