Say we had a sequence or function $$G_x=\frac{1}{x+1}$$ Would $$Y_x=\frac{1}{x+1}$$ be considered a sub sequence. Also, would $$Z_x=\frac{1}{x+2}$$ be considered a sub sequence? I feel that the 2nd one is a sequence for sure, but I am not too sure about $Y_x$
2026-02-26 01:01:58.1772067718
Subsequence of $G$?
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Yes, both $Y_x$ and $Z_x$ can be sub sequences of $G_x$. This is of course, dependent on how you define a sub sequence. Let's say we have a sequence $A=1,2,3$. Would the sequence $B=1,2,3$ be a sub sequence to $A$?
About $Z_x$, it is simply $G_x$ with a "shift". Simply, $$ Z_x = G_{x+1} $$ Which is definitely a sub sequence of $G_{x}$