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Question

Find how many integers between 200 and 500 are divisible by 8.

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Solution

The first term between 200 and 500 divisible by 8 is 208, and the last term is 496.
So, first term(a)=208
Common difference (d)=8

n th term of A.P given as-
an=a+(n1)d
208+(n1)8=496
(n1)8=288
n1=36

n=37
Hence, there are 37 integers between 200 and 500 which are divisible by 8.


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