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If -6 , and 3 ^2+3 (in order) are the first three consecutive terms of an A.P. where . and are natural numbers, then:

Options

  1. Athe possible value of ( + ) is 4 .
  2. Bthe possible value of ( + ) is 2 .
  3. Cthe sum of the first 9 terms is 270 .
  4. Dthe sum of the first 9 terms is 540 .

Correct answer

C. the sum of the first 9 terms is 270 .

Step-by-step solution

-6 +3 ^2+3 =2 aligned & 3 ^2-6 + =0 & is real. D 0 & 36-12 0 3 & aligned For =3,3 ^2-6 +3=0 =1 A.P. is -6,3,12, Now, verify the options.

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