how many multiples of 4 lie between 10 and 100
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Step-by-step explanation:
Clearly, the numbers between 10 and 250 which are multiple of 4 are 12,16,20,...,248.
This is an AP with first term a=12, common difference d=4.
Let there be n terms in this AP, then
a
n
=248⇒a+(n−1)d=248
⇒12+(n−1)×4=248
⇒(n−1)=59
⇒n=60
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