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MHT CET202020 Oct 2020Morning ShiftMathematicsSequences and SeriesActual

The sum to 10 terms of the series 1 3²+2 5²+3 7²+ . . is

Options

  1. A13,495
  2. B15,595
  3. C13,000
  4. D13,695

Correct answer

D. 13,695

Step-by-step solution

1 3²+2 5²+3 7²+ Term : 2(2 q+1)²S= _ =1 ¹⁰ z(2 q+1)²S= _ =1 ¹⁰ (4 z²+4 z+1 ) = _ z=1 ¹⁰ [4 z³+4 z²+2 ]S= 4 10² 11² 4 + 4 10 11 x 6 + 10 11 2 S=13,695

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