Question

find out how many integers between 200 and 500 are divisible by 8

Answer 1

Answer:

38

Step-by-step explanation:

First integer divisible by 8 in between 200 and 500 is  200.

And the common difference between the next consecutive integers is 8.

Hence, First term is 200, common difference is 8.

Now the last term divisible by 8 is 496.

Now applying the AP: nth term formula we get,

L = a + ( n - 1 ) d

⇒ 496 = 200 + ( n - 1 ) 8

⇒ 496 - 200 = ( n - 1 ) 8

⇒ 296 = ( n - 1 ) 8

⇒ 296 / 8 = ( n - 1 )

⇒ 37 = ( n - 1 )

⇒ n = 37 + 1 = 38

Hence there are 38 terms between 200 and 500 which is divisible by 8.

Answer 2

HEY!

HERE IS YOUR ANSWER

200,208.........496
let a=200
d=208-200
=8

using formula
a+(n-1)d=an
200+(n-1)×8=496
200+8n-8=496
192+8n=496
8n=496-192
8n=304
n=38

PLZZ MARK MY ANSWER AS THE BRAINLIEST ONE