There are 16 numbers between 200 and 300 that are divisible by 6.
Here's how to figure that out:
- Finding the First Number: The first number greater than 200 that's divisible by 6 is 204 (6 x 34).
- Finding the Last Number: The last number less than 300 that's divisible by 6 is 294 (6 x 49).
- Determining the Sequence: Numbers divisible by 6 form an arithmetic sequence with a common difference of 6.
- Counting the Numbers: To find out how many numbers are in the sequence, we can use the formula:
(Last number - First number) / Common difference + 1
(294 - 204) / 6 + 1 = 90 / 6 + 1 = 15 + 1 = 16
Therefore, there are 16 numbers between 200 and 300 that are divisible by 6.
The provided reference states that there are two numbers (216 and 288) between 200 and 300 that are divisible by 6, 8, and 9. This is a different question than asking for numbers divisible by 6 alone. The two questions should not be confused.
