Find the value of p, if x, 2x + p and 3x + 6 are in A.P.
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Since, x, 2x + p and 3x + 6 are in A.P.
Hence, difference between consecutive terms will be equal.
∴ 2x + p - x = 3x + 6 - (2x + p)
⇒ x + p = x + 6 - p
⇒ p + p = x + 6 - x
⇒ 2p = 6
⇒ p = 3.
Hence, p = 3.
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