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Mathematics

If k - 1, k + 1 and 2k + 3 are in A.P. , then the value of k is

  1. -2

  2. 0

  3. 2

  4. 4

AP GP

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Answer

We know that in an A.P.,

Common difference = d = any term - preceding term

∴ 2k + 3 - (k + 1) = k + 1 - (k - 1)
⇒ 2k - k + 3 - 1 = k - k + 1 - (-1)
⇒ k + 2 = 2
⇒ k = 0.

Hence, Option 2 is the correct option.

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