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CGP EDU Academic Team
Published on: August 14, 2026
Let a 1 , a 2 , a 3 , a 4 and a 5 be such that a 1 , a 2 and a 3 are in A.P., a 2 , a 3 and a 4 are in G.P. and a 3 , a 4 and a 5 are in H.P. Then a 1 , a 3 and a 5 are in
Text Solution
Verified by ExpertsThe correct answer is:
A
Since a 1 , a 2 , a 3 are in A.P.
∴ 2a 2 = a 1 + a 3 … (1)
Since a 2 , a 3 , a 4 are in G.P.
∴ a 3 2 = a 2 a 4 … (2)
Since a 2 , a 4 , a 5 are in H.P.
∴ a 4 = 
… (3)
Putting a 2 = 
and a 4 = 
in (2)
We get a 3 2 = 
. 
⇒ a 3 2 = a 1 a 5 ⇒ a 1 , a 3 , a 5 are in G.P
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