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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