Find the value of p if -3x - 11, x + p and 5x + 7 are in arithmetic progression.
Terms in arithmetic progression : $$(-3x - 11) , (x + p) , (5x + 7)$$
=> Difference between first two terms is equal to the difference between last two terms
=> $$(x + p) - (-3x - 11) = (5x + 7) - (x + p)$$
=> $$4x + p + 11 = 4x + 7 - p$$
=> $$2p = 7 - 11 = -4$$
=> $$p = \frac{-4}{2} = -2$$
=> Ans - (D)
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