Question

If the sum of the first 20 consecutive positive odd numbers is divided by 202, the result is:

• A. \( 1 \)
• B. \( 20 \)
• C. \( 2 \)
• D. \( 172 \)

Hint:

For sequences, always use known formulas (e.g., sum of odd numbers) to simplify calculations.

Answer 1

The Correct Option is A

Step 1: Sum of consecutive odd numbers. The sum of the first \( n \) consecutive odd numbers is given by \( n^2 \). For \( n = 20 \): \[ {Sum} = 20^2 = 400. \] Step 2: Division by 202. \[ \frac{400}{202} = 1.98 \approx 1. \] Step 3: Conclusion. The result is \( {(1) 1} \).