Question

How many numbers are divisible by 4 lying 101 and 250?

Answer 1

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Answer 2

Answer:

37

Step-by-step explanation:

To Find:- Numbers divisible by 4 in the range 101 and 250.

Solution:-

The first number that is divisible by 4 in the range 101 to 250 is 104.

2nd is 108, 3rd is 112.

So, it forms an A.P. with 1st term = 104, common difference = 4, last term = 248.

As we know, $T_{n} = a + (n-1)d$, where a = 1st term , d = common difference, n = number of terms  and Tn = last term.

So, here we need to find n.

After putting all the values in the above formula, we get

⇒ 248 = 104 + (n - 1) 4

⇒ 248 = 104 + 4n - 4

⇒ 248 - 100 = 4n

⇒ n = 148/4

⇒ n = 37.

Therefore, 37 numbers are divisible by 4 in the range 101 to 250.

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