Answer:
The value of s in the given equation is
![(a(1-r^5))/(1-r)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fgzikhdd4gaq9497235bnewbivq6c28az9.png)
Therefore
![s=(a(1-r^5))/(1-r)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ko56jryozl4txyy8om6bl7ur84oqkbhn1u.png)
Explanation:
Given equation is
![s-rs=a-ar^5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/n8vgm9i4ywvgc9qf19wtgs3nxwcahumyne.png)
To find the value of s :
![s-rs=a-ar^5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/n8vgm9i4ywvgc9qf19wtgs3nxwcahumyne.png)
Taking common term "s" outside in LHS and common term "a" outside in RHS
Dividing by (1-r) on both sides we get
![(s(1-r))/(1-r)=(a(1-r^5))/(1-r)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bpwkriy139b873fb27jill1kqkk8jk5cmd.png)
![s=(a(1-r^5))/(1-r)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ko56jryozl4txyy8om6bl7ur84oqkbhn1u.png)
Therefore the value of s in the given equation is
![(a(1-r^5))/(1-r)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fgzikhdd4gaq9497235bnewbivq6c28az9.png)
Therefore
![s=(a(1-r^5))/(1-r)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ko56jryozl4txyy8om6bl7ur84oqkbhn1u.png)