Question

How many natural numbers lie between 3 square and 4 square. reply fast​

Answer 1

Answer:

six natural numbers...

Answer 2

The number of natural numbers lie between 3 square and 4 square is 6

Given :

The number 3 square and 4 square

To find :

The number of natural numbers lie between 3 square and 4 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 3² and 4²

3² = 9

4² = 16

The natural numbers lie between 3 square and 4 square are 10 , 11 , 12 , . . . , 15

This is an arithmetic progression

Step 2 of 2 :

Find the number of term

The numbers are 10 , 11 , 12 , . . . , 15

First term = a = 10

Common Difference = d = 11 - 10 = 1

Let 15 is the nth term of the AP

⇒ a + ( n - 1 )d = 15

⇒ 10 + ( n - 1 ) = 15

⇒ n + 9 = 15

⇒ n = 15 - 9

⇒ n = 6

The number of natural numbers lie between 3 square and 4 square is 6

More precisely , natural numbers lie between 3 square and 4 square are 10 , 11 , 12 , 13 , 14 , 15

━━━━━━━━━━━━━━━━

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