Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If the 
and 
term of a G.P. and H.P. are 
, then 
A
B
0
C
1
D
Does not exist
Text Solution
Verified by ExpertsThe correct answer is:
B
Let 
and 
be the first term and common ratio of the G.P.
Then 
and 
…..(i)
Again if 
and 
be the first and common difference of the A.P. corresponding to the given H.P.
Then 
,
…..(ii)
From (i), 
or 
, where 
From (ii), 
…..(iii)
Similarly, 
, where 
…..(iv)
and 
Where 
…..(v)
Hence 
{since 
}, Adding (iii), (iv), (v)
Taking logarithm of both sides, we get
.
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