A cascade system having the impulse responses h1[n] = [1,-1]

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A cascade system having the impulse responses h₁[n] = [1,-1] & h₂[n]=[1,1] is shown in the figure below, where symbol ↑ denotes the time origin.

The input sequence x(n)for which the cascade system produces an output sequence

y(n) = [1,2,1,-1,-2,-1] is

[GATE EE 2017 Set 2]

A x[n] = [2,1,1,2]

B x[n] = [2,1,2,2]

C x[n] = [1,1,1,1]

D x[n] = [1,2,2,1]