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If K,(2k - 1) and (2k - 1) Are the Three Successive Terms of an Ap, Find the Value of K.

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Question

If k,(2k - 1) and (2k - 1) are the three successive terms of an AP, find the value of k.

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Solution

It is given that k,(2k -1)and (2k +1) are the three successive terms of an AP.

∴ (2k-1) - k= (2k+1) - (2k-1) 

⇒ k - 1 =2

⇒ k = 3

Hence, the value of k is 3.

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Chapter 5: Arithmetic Progression - Exercises 3

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 5 Arithmetic Progression
Exercises 3 | Q 2

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