Sum of Three Digit Natural Numbers Divisible by 7

Understanding the Problem
To find the sum of all three-digit natural numbers that are divisible by 7, we need to first identify all such numbers within the range of three-digit numbers.

Finding the Range
The smallest three-digit number divisible by 7 is 105, and the largest three-digit number divisible by 7 is 994. We need to find all numbers between these two limits that are divisible by 7.

Identifying the Numbers
To find the numbers, we can start with the smallest number (105) and add 7 successively until we reach the largest number (994). This way, we can list out all three-digit numbers that are divisible by 7.

Finding the Sum
Once we have identified all the numbers, we can simply add them up to find the sum of all three-digit natural numbers divisible by 7.

Calculating the Sum
We can use the formula for the sum of an arithmetic series to calculate the sum of all the numbers. The formula is:
Sum = n/2 * (first term + last term), where n is the number of terms.

Sum of Three-Digit Numbers Divisible by 7
By following the steps mentioned above, we can find the sum of all three-digit natural numbers that are divisible by 7. This sum will give us the total value of all such numbers within the specified range.