Question

How many natural numbers between 28 and 65 are divisible by 7 ?

Answer 1

SOMETHING TO NOTE

Numbers between 28 and 65 do not include 28 and 65

35, 42, 49, ..... 63 are in AP

FORMULA TO BE USED

aₙ = a + (n-1) d

aₙ = The last term

a = The first term

n = Number of terms

d = Common difference

$\implies 63 = 35 + (n-1)7\\\implies 63-35 = 7n-7\\\implies 28 +7 = 7n\\\implies 35 = 7n$

$\implies n = \dfrac{35}{7}$

$\implies n = 5$

$\boxed{\boxed{\bold{Therefore, \ there \ are \ 5 \ numbers \ between \ 28 \ and \ 65 \ which \ are \ divisible \ by \ 7}}}}$