Question

how many numbers lie between the squares of 150 and 151
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Answer 1

Answer:300

Step-by-step explanation:

Numbers between squares of n and n+1 is 2n

So, numbers lie between the squares of 150 and 151 = 150× 2 = 300

Answer 2

There are 300 numbers between the squares of 150 and 151.

We have been given two numbers, n = 150 and n+1 = 151. Our objective is to find the count of numbers that lie between the squares of 150 and 151.

For any consecutive numbers n and n+1, the count of numbers that lie between their squares is given by:

⇒ (n+1)² - n² - 1

⇒ n² + 1 + 2n - n² - 1

⇒ 2n

Therefore, the count of elements that lie between the squares of two consecutive numbers n and n+1 is 2n

We have been given n = 150 and n+1 = 151

Therefore, no. of elements between squares of 150 and 151 is given by:

⇒ 2n

⇒ 2 × 150

⇒ 300

Hence, the required answer is 300.

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