Find the value of p if 3x + p, x - 10 and -x + 16 are in arithmetic progression.
Terms in arithmetic progression : $$(3x + p) , (x - 10) , (-x + 16)$$
=> Difference between first two terms is equal to the difference between last two terms
=> $$(x - 10) - (3x + p) = (-x + 16) - (x - 10)$$
=> $$-2x -10 - p = -2x + 16 + 10$$
=> $$-p = 26 + 10 = 36$$
=> $$p = -36$$
=> Ans - (D)
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