Question

how many natural numbers lie between 500 square and 501 square ?

Answer 1

HEY MATE YOUR ANSWER IS HERE....

THE SQUARE OF 500 IS 2,50,000 AND THE SQUARE OF 501 IS 2,51,001 AND THERE ARE 1000 NUMBERS BETWEEN THEM....

HOPE IT HELPS YOU OUT. IF YOU LIKE IT PLEASE MARK AS THE BRAINLIEST

Answer 2

The number of non-square numbers lie between 500 square and 501 square is 1000

Given :

The number 500 square and 501 square

To find :

The number of non-square numbers lie between 500 square and 501 square

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

Solution :

Step 1 of 2 :

Here the given numbers are 500² and 501²

500² = 250000

501² = 251001

The natural numbers lie between 500 square and 501 square are 250001 , 250002 , 250003 , ... , 251000

This is an arithmetic progression

Step 2 of 2 :

Find the number of term

The numbers are 250001 , 250002 , 250003 , ... , 251000

First term = a = 250001

Common Difference

= d

= 250002 - 250001

= 1

Let 251000 is the nth term of the AP

⇒ a + ( n - 1 )d = 251000

⇒ 250001 + ( n - 1 ) = 399

⇒ n + 250000 = 251000

⇒ n = 251000 - 250000

⇒ n = 1000

The number of non-square numbers lie between 500 square and 501 square is 1000

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If the middle term of a finite AP with 7 terms is 21 find the sum of all terms of the AP

https://brainly.in/question/30198388

2. find the 100th term of an AP whose nth term is 3n+1

https://brainly.in/question/22293445

3. 2,7,12,17,...sum of 12 terms of this A. P. is

https://brainly.in/question/24134044