This is an easy 1-mark question from the chapter Arithmetic Progressions. Concept tested: Basic property of consecutive terms of an AP.

Question 2: For what value of k will k + 9, 2k – 1 and 2k + 7 be consecutive terms of an A.P?

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k + 9, 2k - 1, and 2k + 7 are consecutive terms of an Arithmetic Progression.

Key Property

The difference between any two consecutive terms of an AP is the same.

So, (2k – 1) – (k + 9) = (2k + 7) – (2k -1)

k – 10 = 8 or k = 18

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