A) \[S{{\left( 1-\frac{a}{S} \right)}^{n}}\]
B) \[S\left[ 1-{{\left( 1-\frac{a}{S} \right)}^{n}} \right]\]
C) \[a\left[ 1-{{\left( 1-\frac{a}{S} \right)}^{n}} \right]\]
D) None of these
Correct Answer: B
Solution :
Let \[r\] be the common ratio of the G.P. Then \[S=\frac{a}{1-r}\]\[\Rightarrow \]\[r=1-\frac{a}{S}\] Now \[{{S}_{n}}=\] Sum of \[n\] terms \[=a\left( \frac{1-{{r}^{n}}}{1-r} \right)=\frac{a}{1-r}(1-{{r}^{n}})=S\left[ 1-{{\left( 1-\frac{a}{S} \right)}^{n}} \right]\].
You need to login to perform this action.
You will be redirected in
3 sec
