Find the sum of all numbers divisible by 6 in between 100 to 400.

To find the sum of all numbers divisible by 6 between 100 and 400, we can follow these steps:

1. Identify the first number divisible by 6 within the given range. In this case, the first number divisible by 6 is 102.

2. Identify the last number divisible by 6 within the given range. In this case, the last number divisible by 6 is 396.

3. Calculate the number of terms in the sequence. To do this, subtract the first number from the last number and divide the result by 6. In this case, (396 - 102) / 6 = 57.

4. Calculate the sum of the sequence using the formula for the sum of an arithmetic series: sum = (n/2)(first term + last term), where n is the number of terms. In this case, the sum = (57/2)(102 + 396) = 29(498) = 14,442.

Therefore, the sum of all numbers divisible by 6 between 100 and 400 is 14,442.