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Q) If the sum of the first 20 consecutive positive odd numbers is divided by $20^2$, the result is.
📖 Additional InformationThe correct answer is A. 1.
Explanation: The sum of the first \( n \) consecutive odd numbers is given by the formula: \[ S_n = n^2 \] For the first 20 odd numbers: \[ S_{20} = 20^2 = 400 \] Now, divide the sum by 202: \[ \frac{400}{202} = \frac{200}{101} = 1.98 \approx 1 \] So, the result is 1.
Explanation: The sum of the first \( n \) consecutive odd numbers is given by the formula: \[ S_n = n^2 \] For the first 20 odd numbers: \[ S_{20} = 20^2 = 400 \] Now, divide the sum by 202: \[ \frac{400}{202} = \frac{200}{101} = 1.98 \approx 1 \] So, the result is 1.
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