ICSE BoardEnglish MediumSTD 10MathematicsArithmetic Progression2 Marks
Question
How many multiples of $4$ lie between $10$ and $250?$
✓
Answer
Numbers between $10$ and $250$ which are multiple of $4$ are as follows:
$12, 16, 20, 24,.........248$
Clearly this forms an A.P. with first term $a = 12,$
common difference $d = 4$ and last term $I = 248$
$I = a + (n - 1)d$
$\Rightarrow 248=12+(n-1) \times 4$
$ \Rightarrow 236=(n-1) \times 4 $
$ \Rightarrow n-1=59$
$\Rightarrow n=60$
Thus, $60$ multiples of $4$ lie between $10$ and $250.$
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