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Find the Value of X for Which (X + 2), 2x, ()2x + 3) Are Three Consecutive Terms of an Ap.

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Question

Find the value of x for which (x + 2), 2x, ()2x + 3) are three consecutive terms of an AP.

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Solution

Since (x + 2), 2x and (2x +3) are in AP, we have

2x - (x+2) = (2x+3) -2x

⇒ x-2 = 3

⇒ x = 5

∴ x = 5

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Chapter 5: Arithmetic Progression - Exercises 2

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 5 Arithmetic Progression
Exercises 2 | Q 4

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