The problem asks for the sum of the first 25 odd numbers.
Sum of First 25 Odd Numbers Calculation
There is a well-known formula for the sum of the first N odd positive integers. The sum is equal to N squared ($N^2$).
Applying the Formula
In this question, we need to find the sum of the first 25 odd numbers. This means our value for N is 25.
- Identify N: \( N = 25 \)
- Use the formula: Sum $= N^2$
- Substitute the value of N: Sum $= 25^2$
- Calculate the result: Sum $= 25 \times 25 = 625$
Therefore, the sum of the first 25 odd numbers is 625.
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