There are 37 integers between 200 and 500 that are divisible by 8.
This can be determined by recognizing that the numbers divisible by 8 within this range form an arithmetic progression (A.P.):
- First term (a) = 208 (the smallest number greater than or equal to 200 that's divisible by 8)
- Common difference (d) = 8
- Last term (an) = 496 (the largest number less than or equal to 500 that's divisible by 8)
Using the formula for the nth term of an A.P., an = a + (n-1)d, we can find the number of terms (n):
- 496 = 208 + (n-1)8
- 288 = (n-1)8
- 36 = n - 1
- n = 37
Therefore, there are 37 integers between 200 and 500 that are divisible by 8.
