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How many multiples of 4 lie between 10 and 250?
To do: Find How Many Multiples Of 4 Lie Between 10 And 250
Solution:
$nth term = a + (n - 1)d$
First number in this series will be 12. Last number will be 248.
The series will be 12,16,20……….248.
It is a arithmetic progression with first term a=12 and common difference of 4.
with last term as 248.
Lets assume it has n such numbers. So 248 will be nth term
So, $248=12 + (n-1)\times4$
$(n-1).4= 248–12=236$
$n-1=\frac{236}{4}=59$
$n=59+1=60$.
So, 60 multiples of 4 lie between 10 and 250.
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