Question

how many multiples of 4 lie between 10 and 100​

Answer 1

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