There are natural numbers between

Question:

There are natural numbers between n2 and (n + l)2

Solution:

$2 n$

Natural numbers between $n^{2}$ and $(n+1)^{2}=\left[(n+1)^{2}-n^{2}\right]-1$

$=\left[n^{2}+2 n+1-n^{2}\right]-1$

$=2 n+1-1=2 n$

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