QUESTION 15 Let g [n] be the following sequence: 4-3-2-1 0 1 Consider the sequence y(n]=x[n+2]-2g[n+1]*x[n-21+3x[n]+4x [n+1]. Can we equivalently write that y(n]=f[n]*x [n] for some sequence f[n]? Yes, and we must have f[-1]=-2 Yes, and we must have f[-1)=0 Yes, and we must have f[- 1]=3 Yes, and we must have f[ –1]=4 Yes, but there is not enough information to specify f[-1]. No None of the above he

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Chapter2: Second-order Linear Odes
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QUESTION 15
Let g [n] be the following sequence:
4-3-2-1 0 n
Consider the sequence
y(n]=x[n+2]-2g[n+1]*x[n-2]+3x [n]+4x [n+1].
Can we equivalently write that
y(n]=f[n]*x[n] for some sequence f[n]?
Yes, and we must have f[-1]=-2
Yes, and we must have f[- 1] =0
Yes, and we must have f[-1]=3
Yes, and we must have f[ – 1]=4
Yes, but there is not enough information to specify f[-1].
ONo
None of the above
Transcribed Image Text:QUESTION 15 Let g [n] be the following sequence: 4-3-2-1 0 n Consider the sequence y(n]=x[n+2]-2g[n+1]*x[n-2]+3x [n]+4x [n+1]. Can we equivalently write that y(n]=f[n]*x[n] for some sequence f[n]? Yes, and we must have f[-1]=-2 Yes, and we must have f[- 1] =0 Yes, and we must have f[-1]=3 Yes, and we must have f[ – 1]=4 Yes, but there is not enough information to specify f[-1]. ONo None of the above
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