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Thread: Arithmetic Progression

  1. #1 Arithmetic Progression 
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    Sep 2005
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    Show that there can be infinite number of sets of four distinct real numbers in AP which are such that the square of the last term is equal to the sum of the squares of the first three terms.

    How to show this ?I have no idea . Please Help.


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  3. #2  
    Forum Freshman Faldo_Elrith's Avatar
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    Jul 2008
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    Taking for example you have



    Since a can be any real number, there are infinitely many numbers of this form. And taking will give even more solutions.


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