Which one of the following options is correct for the given data in the table?…

GATE · 2025 · CS · Set 2 · General AptitudeGATE · 2025 · IN · General AptitudeGATE · 2025 · MT · General AptitudeGATE · 2025 · NM · General AptitudeGATE · 2025 · TF · General Aptitude

1. A.

   $𝑋(𝑖) = 𝑋(𝑖 − 1) + 𝐼(𝑖); 𝑌(𝑖) = 𝑌(𝑖 − 1)𝐼(𝑖); 𝑖 > 0$

2. B.

   $𝑋(𝑖) = 𝑋(𝑖 − 1)𝐼(𝑖); 𝑌(𝑖) = 𝑌(𝑖 − 1) + 𝐼(𝑖); 𝑖 > 0$

3. C.

   $𝑋(𝑖) = 𝑋(𝑖 − 1)𝐼(𝑖); 𝑌(𝑖) = 𝑌(𝑖 − 1)𝐼(𝑖); 𝑖 > 0$

4. D.

   $𝑋(𝑖) = 𝑋(𝑖 − 1) + 𝐼(𝑖); 𝑌(𝑖) = 𝑌(𝑖 − 1)𝐼(𝑖 − 1); 𝑖 > 0$

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