Question

How many numbers between 10 and 100 are divisible by 4 (by arithmatic prograssion A.P)​

Answer 1

Answer:

your answer is in attachment

please mark me brain liest

Answer 2

The sequence of numbers which lie between 10 and 100 and are divisible by 4 are as follows:

12, 16, 20, ... , 100

In the above sequence,

• First term = a = 12
• Common difference = d = 4
• Last term = aₙ = 100

We need to find out the number of terns which is n.

Apply the general formula of Arithmetic Progression.

aₙ = a + (n - 1)d

⇒ 100 = 12 + (n - 1)4

⇒ 100 - 12 = 4(n - 1)

⇒ 4(n - 1) = 88

⇒ (n - 1) = 88 ÷ 4

⇒ (n - 1) = 22

⇒ n = 22 + 1

⇒ n = 23

∴ 23 terms lie in between 10 and 100 which are divisible by 4.