WBCS.LIVE practice question

If (1^2 + 2^2 + 3^2 + \ldotp \ldotp \ldotp \ldotp + 10^2) = 385, then the value of (2^2 + 4^2 + 6^2 + \ldotp \ldotp \ldotp \ldotp + 20^2) is

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 770
  2. 1540
  3. 1155
  4. 385 x 385

Correct answer and explanation

Correct answer: 1540

Explanation: āœ… Correct Answer: B) 1540 šŸ“š Explanation: The series (2^2 + 4^2 + ... + 20^2) can be written as 2^2 * (1^2 + 2^2 + ... + 10^2). This is because every term in the second series is four times the corresponding term in the first. Since the sum of the first series is given as 385, we simply multiply it by 4. The final result of 385 * 4 is 1540.