Question

There are _________ natural numbers between the squares of 123 and 124​

Answer 1

Answer:

many

Step-by-step explanation:

there are many natural numbers between the square of 123 and 124

Answer 2

SOLUTION

TO FILL IN THE BLANK

There are _________ natural numbers between the squares of 123 and 124

EVALUATION

We have to find the number of natural numbers between the squares of 123 and 124

Here

123² = 15129

124² = 15376

So the natural numbers between the squares of 123 and 124 are 15130 , 15131 , 15132 ,... , 15375

This is an arithmetic progression

First term = a = 15130

Common Difference = d = 15131 - 15130 = 1

Let 15375 is nth term

So by the given condition

a + ( n - 1 )d = 15375

⇒ 15130 + ( n - 1 ) = 15375

⇒ ( n - 1 ) = 245

⇒ n = 246

FINAL ANSWER

There are 246 natural numbers between the squares of 123 and 124

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ The product of two successive multiples of 5 is 300. What are the values of these multiples?

https://brainly.in/question/26660243

2. the product of two successive multiples of 10 is 1200 . then find these multiples

https://brainly.in/question/28616922