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Mathematics

k + 2, 2k + 7 and 4k + 12 are the first three terms of an A.P. The first term of this A.P. is :

  1. -2

  2. 0

  3. 2

  4. 3

AP GP

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Answer

Since,

k + 2, 2k + 7 and 4k + 12 are the first three terms of an A.P.

∴ 2k + 7 - (k + 2) = 4k + 12 - (2k + 7)

⇒ 2k - k + 7 - 2 = 4k - 2k + 12 - 7

⇒ k + 5 = 2k + 5

⇒ 2k - k = 5 - 5

⇒ k = 0.

⇒ k + 2 = 0 + 2 = 2.

Hence, Option 3 is the correct option.

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