Question

If the $4^{th}$ and $7^{th}$ term of a G.P. are 54 and 1458 respectively, then find its
i) Common ratio ii) $6^{th}$ term

Answer 1

4th Term = 54 = $a{r}^3$

7th Term = 1458=$a{r}^6$

Solving we get $r=3$

Now 6th Term = $a{r}^5$=$\frac{a{r}^6}{r}=\frac{1458}{3}=486$