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Insert three numbers between 1 and 625 so that the resulting sequence is a G.P.

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Insert three numbers between 1 and 625 so that the resulting sequence is a G.P. 

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Let the required numbers be t2, t.3, t4... 

 Then 1, t2, t3, t4, 625 are in G.P. 

∴ The required numbers are (5, 25, 125) or ( -5, 25, -125) 

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