Respuesta :

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].

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