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Question: The numbers \(( \sqrt { 2 } + 1 ) , 1 , ( \sqrt { 2 } - 1 )\) will be in...

The numbers (2+1),1,(2−1)( \sqrt { 2 } + 1 ) , 1 , ( \sqrt { 2 } - 1 ) will be in

A

A.P.

B

G.P.

C

H.P.

D

None of these

Answer

G.P.

Explanation

Solution

Clearly (1)2=(2+1)⋅(2−1)( 1 ) ^ { 2 } = ( \sqrt { 2 } + 1 ) \cdot ( \sqrt { 2 } - 1 )

∴ 2+1,1,2−1\sqrt { 2 } + 1,1 , \sqrt { 2 } - 1 are in G.P.