Extrapolating a winner

The three-year-old (S.) and I were playing "I spy" this morning on the way to daycare.  Early in the game, I missed a red sign that she spied.  She informed me that she now had 2 points and that I had only one.  She then continued, "when Appa have 2, S. gonna have 3 points. And when Appa gonna have 3, S. gonna have 4. And when Appa have 4, S. gonna have 5 .... and when Appa have 9, I gonna have 10 and ... Appa!"

"Yes, S.?"

"I got 10 points, I win!"

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