The image shows the mark scheme for mathematical induction question. I do not understand how you know $(2k)!$ is more than $(k!)^2 2^k$ ($2$ lines below consider $P(k+1)$. Can someone explain it to me please?
2026-04-08 12:50:27.1775652627
Question on mathematical induction which involves factorial and inequality.
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That is the induction hypothesis, we assume $P(k)$ is true: that is $(2k)! > (k!)^2 2^k$ is true.