Math miscellaneousHard

Question

If a, b, c are in A.P., b, c, d are in G.P. & c, d, e are in H.P., then -

Options

A.a, e, c are in G.P.
B.a, c, e are in G.P.
C.
D.

Solution

b =
c2 = bd ⇒ c2 = d ⇒    d =
d =
c(c + e) = e(a + c)
c2 = ea

Use C & D ⇒

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