Answer:
[tex]S(n-1)=2^{n-2}[/tex]
Step-by-step explanation:
Given that,
The value of [tex]S_n=2^{n-1}[/tex]
We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,
[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]
Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].