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How to take the impuse response of (1/3)^n*u(n-1)

User MooGoo
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Final answer:

To find the impulse response of the sequence (1/3)^n * u(n-1), substitute values of n into the given expression. The impulse response is {(0, 1/3, 1/9, ...)}.

Step-by-step explanation:

To find the impulse response of the sequence (1/3)^n * u(n-1), we can start by substituting values of n into the given expression. u(n-1) is the unit step function, which is equal to 1 when n ≥ 1 and equal to 0 when n < 1.

So, when n = 0, the sequence becomes (1/3)^0 * 0 = 0. When n = 1, the sequence becomes (1/3)^1 * 1 = 1/3. Similarly, when n = 2, the sequence becomes (1/3)^2 * 1 = 1/9, and so on.

Therefore, the impulse response of the given sequence is: {(0, 1/3, 1/9, ...)}.

User Thomas Gotwig
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