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Permutations And Combinations
If two G.M.'s
and one A.M. 'A' be inserted between two numbers, show that ![]()
Let a and b be two numbes, since g1 and g2 are two G.M.'s between a and b.
∴ a,
, b are in G.P.
Let r be common ratio
∴ ![]()
Since A is the A.M. between a and b
∴ ![]()
2A = a + b ...(i)
R.H.S. =
{By using (i)}
= L.H.S.
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