Question

Find how many integers between 200 and 500 are divisible by 8.

Answer 1

hope this helps you☺️

Answer 2

Hey There!!!.


All Natural Number between 200 and 800, Which are divisible by 8 are Given below..

208,216,224......, 496

This is in the form of arithmetic progression,

Here,

First term (a)=208

LAST TERM= 496


CommOn Difference (d)=216-208=8

Let the number of terms be 'n'

According to the formula of Arithmetic Progression:-


Tn=496


Tn=a+(n-1)d

496=208+(n-1)8

496=208+8n-8

496=208-8+8n

496=200+8n

496-200=+8n

296=8n

°•° n=296/8

n=37

Hence, Number of terms 37 which between 200 and 500 are divisible by 8.