Q. 64.6( 17 Votes )

Find how many int

Answer :

The integers between 200 and 500 divisible by 8 are 208, 216, 224,…,496.

This forms an AP with first term = a = 208


and common difference = d = 8


Last term is 496.


Now, number of terms in this AP are given as:


496 = a + (n – 1)d


496 = 208 + (n - 1)8


496 – 208 = 8n – 8


 288 = 8n - 8


 288 + 8 = 8n


 296 = 8n


n = 37


There are 37 integers between 200 and 500 that are divisible by 8.

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