Question

find how many natural numbers between 200 and 500 are divisible by 7?​

Answer 1

Step-by-step explanation:

Naturals numbers between 200 and 500 divisible by 7 are

203, 210, 217,......................490, 497.

$a = 203 \\ d = 7 \\ an = 497 \\ n = ?$

We know

$an = a + (n - 1)d$

Substituting values,

$497 = 203 + (n - 1)7 \\ 497 - 203 = (n - 1)7 \\ \: 294 = (n - 1)7 \\ \frac{294}{7} = n - 1 \\ 42 = n - 1 \\ n = 43$

So 43 such numbers exists between 200 and 500 which are divisible by 7

Answer 2

Step-by-step explanation:

43 numbers are divisible by 7 b/w 200-500.