Step-by-step explanation: The smallest 3 digit number is 100, and the largest is 999. So our first step should be to find the numbers closest to these and divisible by 4. While 100 is already divisible by 4, our last 3 digit number divisible by 4 would be 996. Either you can apply the formula for finding the nth term of an AP by using the common difference = 4, or, 100 = 4 * 25 = Our 1st Term = Our (25–24)th term 996 = 1000 – 4 = 4 * (250 – 1) = 4 * 249 = Our last term = Our (249 – 24)th term = Our (225)th term! Therefore there are 225 3 digit numbers divisible by 4. Reply
Step-by-step explanation:
The smallest 3 digit number is 100, and the largest is 999. So our first step should be to find the numbers closest to these and divisible by 4.
While 100 is already divisible by 4, our last 3 digit number divisible by 4 would be 996.
Either you can apply the formula for finding the nth term of an AP by using the common difference = 4, or,
100 = 4 * 25 = Our 1st Term = Our (25–24)th term
996 = 1000 – 4 = 4 * (250 – 1) = 4 * 249 = Our last term
= Our (249 – 24)th term = Our (225)th term!
Therefore there are 225 3 digit numbers divisible by 4.