If (2 p-1), 7, 3 p are in AP, then the value of p is [[1]].

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If (2 p-1), 7, 3 p are in AP, then the value of p is [[1]].

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answer is 3.

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Detailed Solution

If (2 p-1), 7, 3 p are in AP, then the value of p is 3.
Given:

(2 p − 1), 7 and 3 p

are in AP.
Let

(2 p − 1), 7 and 3 p

are three consecutive terms of an AP.
As the common difference of consecutive terms of an AP is always the same:

∴ 7 − (2 p − 1) = 3 p − 7 ⇒ 5 p = 15 ⇒ p = 3

Therefore, the value of p is 3.

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