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