Question

.) How many natural numbers from 10 to 250 are divisible by 4?​

Answer 1

Step-by-step explanation:

60 numbers

The least positive natural number from 10 to 250 divisible by 4 is 12. The sequence divisible by 4 is 12, 16, 20, .... , 248. Hence, 60 numbers are divisible by 4.

Answer 2

Answer:

$\red\bigstar$ The number of natural numbers from 10 to 250 that are divisible by 4 = 60.

SOLUTION

The natural number from 10 to 250 that are divisible by 4 = 12,16,20, .... 248.

This forms an AP whose,

First Term (a) = 12

Common Difference (d) = 4

$\sf Last \: Term, (a)_{n} = 248$

We know that ,

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

$\implies$ 248 = 12 + (n - 1) × 4

$\implies$ 248 = 12 + 4n - 4

$\implies$ 4n - 8 = 248

$\implies$ 4n = 248 - 8

$\implies$ 4n = 240

$\implies \sf n = \dfrac{240}{4}$

$\implies$ n = 60

$\dag$ There are 60 numbers from 10 to 250 that are divisible by 4.