Question

How many non square number lie between 8 square and 9 square?

Answer 1

Answer:

8 square =64

9 square =81

81-64=17

answer=17

Step-by-step explanation:

Answer 2

The number of non square number lie between 8 square and 9 square is 16

Given :

The numbers 8 square and 9 square

To find :

The number of non square number lie between 8 square and 9 square

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

Solution :

Solution :Step 1 of 2 :

Write down the given numbers

The given numbers are 8² and 9²

Step 2 of 2 :

Find the number of non square number lie between 8 square and 9 square

8² = 64

9² = 81

The natural numbers lie between 19 8 square and 9 square are 65 , 66 , 67 , . . . , 80

This is an arithmetic progression

First term = a = 65

Common Difference = d = 66 - 65 = 1

Let 80 is the nth term of the AP

⇒ a + ( n - 1 )d = 80

⇒ 65 + ( n - 1 ) = 80

⇒ n + 64 = 80

⇒ n = 80 - 64

⇒ n = 16

The number of non square number lie between 8 square and 9 square is 16

━━━━━━━━━━━━━━━━

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