Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If a, b, c, d are in G.P., prove that :
(i) (a 2 − b 2 ), (b 2 − c 2 ), (c 2 − d 2 ) are in G.P.
(ii) 
are in G.P.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) Let b = ar
c = ar 2 and d = ar 3
So a 2 (1– r 2 ),a 2 (r 2 )(1 – r 2 ),a 2 r 4 (1–r 2 ) these are in G.P.
So (a 2 – b 2 ), (b 2 – c 2 ), (c 2 – d 2 ) are in G.P.
(ii) 
, 
, 
= 
, 
, 
are in G.P.
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