In the natural numbers from 10 to 250, how many are divisible by 4?

Answer

There are 60 terms divisible by 4 in this A.P.

Explanation

The number from 10 to 250 which are divisible by 4 are 12, 16, …., 244, 248. This is an A.P. with first term a = 12 and d = 4 Let there be n terms in this A.P.
Then`t_(n)=248`
`t_(n)=a+(n-1)d ` ….(Formula)
`therefore248=12xx(n-1)xx4` ....(Substituting the values)
`therefore(n-10)xx4=248-12`
`therefore(n-1)xx236" "thereforen-1=(236)/(4)thereforen-1=59`
`thereforen=59+1" "thereforen=60.`