Question

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

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.

Answer 2

Answer:

hey mate here is your answer

Step-by-step explanation:

(12,16,20,24......,248)

Let a be first term & d be the common difference

a=12

d= t2 - t1 = 16 - 12 = 4

an=248

an=a+(n−1)d

⇒248=12+(n−1)4

⇒248−12=4(n−1)

⇒236=4n−4

⇒240=4n

⇒n=60

∴ There are 60 numbers between 10 & 250 that are divisible by 4.