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KCET2020MathematicsLimits

If the sum of n terms of an AP is given by S_ n =n²+n , then the common difference of the AP is

Options

  1. A4
  2. B1
  3. C2
  4. D6

Correct answer

C. 2

Step-by-step solution

Given sum of n terms of an AP. aligned S_ n &=n²+n a₁ &=S₁=1+1=2 a₁+a₂ &=S₂=2²+2=6 a₂ &=S₂-S₁=6-2=4 d &=a₂-a₁=4-2=2 aligned

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