Question

Question 29

Fill in the blanks to make the statements true.

There are ___ natural numbers between $n^2$ and $(n+1{)}^2$.

Answer 1

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