Let y[n] denote the convolution of h[n] and g[n], where

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Let y[n] denote the convolution of h[n] and g[n], where
h[n] = 1 n u[n]
2

and g[n] is a causal sequence. If y[0] = 1 and y[1] = 1/2, then g[1] equals

1. 0
2. 1/2
3. 1
4. 3/2

Correct Option: A

Eqⁿ (B) – Eqⁿ (A) × (1/2) gives,
⇒ 1/2 g[1] = 0
⇒ g[1] = 0