Finding the Sum of Odd Numbers between 200 and 300

To find the sum of all odd numbers between 200 and 300, we need to follow these steps:

Step 1: Identify the First Odd Number

The first odd number between 200 and 300 is 201.

Step 2: Identify the Last Odd Number

The last odd number between 200 and 300 is 299.

Step 3: Find the Number of Odd Numbers

To find the number of odd numbers between 201 and 299, we need to subtract the first odd number from the last odd number and then add 1.

Number of odd numbers = (299 - 201) + 1 = 99

Step 4: Find the Sum of Odd Numbers

To find the sum of all odd numbers between 200 and 300, we need to use the formula for the sum of an arithmetic series:

Sum = (n/2)(first term + last term)

where n is the number of terms, the first term is 201, and the last term is 299.

Substituting the values, we get:

Sum = (99/2)(201 + 299) = 4950

Therefore, the sum of all odd numbers between 200 and 300 is 4950.

Comparing with Options

Option A - 11600: This is not the correct answer as it is much larger than the sum we calculated.

Option B - 12490: This is also not the correct answer as it is larger than the sum we calculated.

Option C - 12500: This is not the correct answer as it is much larger than the sum we calculated.

Option D - None of these: This is the correct answer as none of the given options match the sum we calculated.

Therefore, the correct answer is option D - None of these.