Find the value of x for which the numbers (5x + 2), (4x - 1) and (x + 2) are in A.P.
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Question

Find the value of x for which the numbers (5x + 2), (4x - 1) and (x + 2) are in A.P.

KnowledgeBoat · Accepted Answer

Since, (5x + 2), (4x - 1) and (x + 2) are in A.P. Hence, difference between consecutive terms are equal. ∴ (4x - 1) - (5x + 2) = (x + 2) - (4x - 1) ⇒ 4x - 1 - 5x - 2 = x + 2 - 4x + 1 ⇒ -3 - x = 3 - 3x ⇒ -3 - 3 = -3x + x ⇒ -6 = -2x ⇒ x = ⇒ x = 3. Hence, the value of x = 3.

Mathematics

Find the value of x for which the numbers (5x + 2), (4x - 1) and (x + 2) are in A.P.

AP

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