Question

Find the number of Integers between 100 and 200 which are divisible by 8?​

Answer 1

Answer:

37 Integers

Step-by-step explanation:

The Integers between 200 and 500 which are divisible by 8 are 208,216,224,............,496

The given series in a AP since d=8.

Here,

$a=208$

$d=8$

$a_{n}=496$

then,

$a_{n}=a+(n-1)d$

$→496=208+(n-1)8$

$→8n-8=288$

$→8n=288+8$

$→8n=296$

$→n=\frac{296}{8}$

$→\huge\boxed{n=37}$

Therefore,

There are 37 integers between 200 and 500 that are divisible by 8.