GATE Textile Engineering Question: Find Recurrence Relations for X(i) and Y(i) from Data Table

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Textile Engineering > GATE 2025 > Pattern Recognition

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

Iteration (i)	0	1	2	3
Input (I)	20	-4	10	15
Output (X)	20	16	26	41
Output (Y)	20	-80	-800	-12000

A

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

B

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

C

X(i)=X(i-1)I(i); Y(i)=Y(i-1)I(i); i>0

D

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

Correct : d

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