Question

Find how many integers between 200 and 500 are divisble by 8

Answer 1

Hi ,

200 , 208 , 216 , ....496 are the numbers between 200 and 500

Which are divisible by 8 and they

are in Arithmetic progression.

First term = a = 200

Common difference ( d ) = a2 - a1

d = 208 - 200 = 8

Last term = an

Let the number of terms = n

an = 496

a + ( n - 1 )d = 496

200 + ( n - 1 ) 8 = 496

( n - 1 ) 8 = 296

n - 1 = 296/8

n - 1 = 37

n = 37 + 1

n = 38

I hope this helps you.

: )