Question
How many multiples of $4$ lie between $10$ and $250$?
✓
Answer
Let,
Multiple of $4$ lie between $10$ and $250$
$12, 16, 20, ..... 248$
we know $a_n=a+(n-1) d$
Here,
First term $a =12$
Difference $d=16-12=4$
and Last $n ^{\text {th }}$ term $a _{ n }=248$
Then, $a_n=a+(n-1) d$
$\Rightarrow 248=12+(n-1) 4$
$\Rightarrow 248=12+4 n-4$
$\Rightarrow 4 n =248-12+4$
$\Rightarrow 4 n =240$
$\Rightarrow n =60$
Hence, multiple of $4$ lies between $10$ and $250$ is $60$ .
Multiple of $4$ lie between $10$ and $250$
$12, 16, 20, ..... 248$
we know $a_n=a+(n-1) d$
Here,
First term $a =12$
Difference $d=16-12=4$
and Last $n ^{\text {th }}$ term $a _{ n }=248$
Then, $a_n=a+(n-1) d$
$\Rightarrow 248=12+(n-1) 4$
$\Rightarrow 248=12+4 n-4$
$\Rightarrow 4 n =248-12+4$
$\Rightarrow 4 n =240$
$\Rightarrow n =60$
Hence, multiple of $4$ lies between $10$ and $250$ is $60$ .
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