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Permutations And Combinations
Question
If a, b, c are in G.P. and x, y are the arithmetic means of a, b and b, c respectively,
then prove that 
and 
Solution
Since a, b, c are in G.P.
∴ 
...(i)
Since x is the A.M. between a and b
∴ 
...(ii)
Since y is the A.M. between b and c
∴ 
...(iii)
[By using (i)]
∴ 
Now, 
[By using (i)]
∴ 
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