Question

How many numbers between 100 and 500 are divisible by 17?

Answer 1

Given Limit is 100 to 500.

The least Number under 100 that's divisible by 17 = 17 * 6 = 102.

The Biggest Number under 500 that's divisible by 17 = 17 * 29 = 493.

This is an AP with common difference d = 17, Start term a = 102, Last term l = 493.

We know that sum of n terms an = a + (n-1) * d

493 = 102 + (n-1) * 17

493 = 102 + 17n - 17

510 = 102 + 17n

17n = 408

n = 24.


Hence total numbers between 100 and 500 are divisible by 17 = 24.


Hope this helps!