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 ⇒
c2 = bd ⇒ c2 =
d =
c(c + e) = e(a + c)
c2 = ea
Use C & D ⇒
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