2016 Question Paper Solution | Question 2

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?

Video Explanation

Explanatory Answer | Q2 2016 Board Paper

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