Question

There are ______ natural numbers between n² and (n + 1)² 

Answer 1

There are 2n natural numbers between n² and (n + 1)² 

Explanation:

Natural number between n² and (n + 1)² will be calculated as follows:

= [(n + 1)² – n²] – 1

= (n² + 2n + 1 – n²) – 1

= 2n + 1 – 1

= 2n

Hence, there are 2n natural numbers between n² and (n + 1)².