Question

how many numbers are divisible by 8 , between 200 and 500

Answer 1

There are 37 digits between 200 and 500 which are divisible by 8.

Answer 2

Solution:

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Given & To Find :

The number of integers between 200 and 500 which are divisible by 8,.

∴ a = 208, (excluding multiple of 8 (200))

∴ d = 8 (multiple of 8)

∴ n = ? (number of terms),

∴ Upper limit = 500,.

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We know that,

 $a_n = a + (n-1)d$

=> [tex]500 = 208 + (n-1) 8 [/tex]

=> $500 - 208 = 8n-8$

=> $292+8 = 8n$

=> $300 = 8n$

=> $n= \frac{300}{8}$

=> $n = 37 \frac{4}{8}$

∴ n=37,.

There are 37 numbers which are divisible by 8 between 200 and  500.
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                                            Hope it Helps!!