Question

In the natural number 10 to 250, how many are divisible by 4.
by A.P.

Answer 1

Natural numbers between 10 and 250 which are divisible by 4: 12,16,20.....

Let a be the first term and d be the common difference.

First term a = 12.

Common difference d = 4.

Last term an = 248.


We know that number if terms of an AP an = a + (n - 1) * d

                                                                   248 = 12 + (n - 1) * 4

                                                                   248 = 12 + 4n - 4

                                                                   248 = 4n + 8

                                                                   248 - 8 = 4n

                                                                   240 = 4n

                                                                   n = 60.




Therefore, There are 60 numbers which are divisible by 4 between 10 to 250.


Hope this helps!

Answer 2

Hi,

Please see the attached file!


Thanks