QUESTION 1 Let X[n]= (n+1) 2" u[n - 1]. It is observed that its z-transform is of the form B(z) X(2) = 1+a,z-+azz -2 where B(z) is some polynomial. What is B (4) ? 1 O 4 3 O 4 3. 4 O 12 None of the above

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Author:Robert L. Boylestad
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**QUESTION 1**

Let \( x[n] = (n + 1) 2^n \, u[n - 1] \).

It is observed that its z-transform is of the form

\[
X(z) = \frac{B(z)}{1 + a_1 z^{-1} + a_2 z^{-2}}
\]

where \( B(z) \) is some polynomial. What is \( B(4) \)?

**Options:**

- \( \frac{1}{4} \)
- \( \frac{3}{4} \)
- 3
- 4
- 12
- None of the above
Transcribed Image Text:**QUESTION 1** Let \( x[n] = (n + 1) 2^n \, u[n - 1] \). It is observed that its z-transform is of the form \[ X(z) = \frac{B(z)}{1 + a_1 z^{-1} + a_2 z^{-2}} \] where \( B(z) \) is some polynomial. What is \( B(4) \)? **Options:** - \( \frac{1}{4} \) - \( \frac{3}{4} \) - 3 - 4 - 12 - None of the above
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