Question

Find the no. of all natural nos less than 100 divisible by 4

Answer 1

Solution :

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Given :

To find  all the numbers which are divisible  by 4,.

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We know that,

All the  numbers which are divisible by 4 have the common difference as 4,.

⇒ 8 - 4 = 16 - 12 = 12 - 8 = 4

Hence,

∴ d = 4,.

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The smallest number which is divisible by is 4 itself,.

So,

∴ a = 4,.
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The maximum limit (To find) is 100,.

Hence,

∴ $a_n = 100$

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So,.

We also know that,

⇒ $a_n = a + (n-1)d$

⇒ 100 = 4 + (n - 1)4

⇒ 100 = 4 + 4n - 4

⇒ 96 = 4n

⇒ n = $\frac{96}{4}$

⇒ n = 24

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∴ The natural numbers which are divisible by 4 less than, 100 (by excluding 100) is 24

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