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The sum of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+ . .+2(2 m)^2 is

Options

  1. Am(2 m+1)^2
  2. Bm^2(m+2)
  3. Cm^2(2 m+1)
  4. Dm(m+2)^2

Correct answer

A. m(2 m+1)^2

Step-by-step solution

The sum of the given series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+ . .+2(2 m)^2 is 2 m (2 m+1^2 . 2 m (2 m+1^2 )

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