Question
Find how many intergers between 200 and 500 are divisible by 8.
✓
Answer
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 $(d) = 8$
$a_n= a + (n - 1)d = 496$
$\Rightarrow 208 + (n - 1)8 = 496$
$\Rightarrow (n - 1)8 = 288$
$\Rightarrow n - 1 = 36 \Rightarrow n = 37$
Hence, there are 37 integers between 200 and 500 which are divisible by 8.
So, first term (a) = 208
Common difference $(d) = 8$
$a_n= a + (n - 1)d = 496$
$\Rightarrow 208 + (n - 1)8 = 496$
$\Rightarrow (n - 1)8 = 288$
$\Rightarrow n - 1 = 36 \Rightarrow n = 37$
Hence, there are 37 integers between 200 and 500 which are divisible by 8.
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