Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Statement 1 : 3,6,12 are in G.P., then 9,12,18 are in H.P.
Statement 2 : If three consecutive terms of a G.P. are positive and if middle term is added in these terms, then resultant will be in H.P.
Text Solution
Verified by ExpertsThe correct answer is:
A
Let a, b, c in G.P. then b 2 = ac then a + b , 2b, b + c in HP
, 
, 
in AP 
= 
+ 
(a + b) (b + c) = (a + c + 2b) b ⇒ ab + b 2 + ac + bc = ab + bc + 2b 2
∴ b 2 = ac So statement (1) and (2) is true
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