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MHT CET202012 Oct 2020Morning ShiftMathematicsSequences and SeriesActual

If 2+4+6+8------- upto n terms 1+3+5+7------- upto n terms = 37 36 , then n=

Options

  1. A36
  2. B29
  3. C23
  4. D37

Correct answer

A. 36

Step-by-step solution

sum of n even natural numbers =n(n+1) sum of n odd natural numbers =n^ 2n(n+1) / n^ 2=37 / 36n+1 / n=37 / 36 cross multiplication 36(n+1)=37 n36 n+36=37 n37 n-36 n=36n=36

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