JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

If are four numbers such that the first three are in AP while the last three are in HP then

Answer: (A)

Solution

AP: . HP: c = \dfrac{2bd}{b + d} \Rightarrow bc + cd = 2bd = (a + c)d = ad + cd. Cancelling : .

Question ID VK-107794