document.write( "Question 1017801: find the three numbers in an arithmetic progression whose sum is 48 and the sum of their squares is 800 \n" ); document.write( "

Algebra.Com's Answer #634008 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "find the three numbers in an arithmetic progression whose sum is 48 and the sum of their squares is 800
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document.write( "One can present the three consecutive terms of the AP as\r\n" );
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document.write( "x -d, x, x + d,\r\n" );
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document.write( "where x is the mid term and d is the common difference.\r\n" );
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document.write( "Then the sum of the tree terms is 3x, and you can easily find a from the equation\r\n" );
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document.write( "3x = 48,\r\n" );
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document.write( "which implies x =  = 16.\r\n" );
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document.write( "Now the sum of squares of the tree terms is\r\n" );
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document.write( " =  =  = .\r\n" );
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document.write( "It gives you an equation to find d:\r\n" );
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document.write( " =   --->   =  = 32  --->   =  = 16.\r\n" );
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document.write( "Hence, d = +/- 4.\r\n" );
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document.write( "It gives the AP terms as  12, 16 20,   or   20, 16, 12.\r\n" );
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document.write( "Answer. AP terms are  12, 16 20,   or   20, 16, 12.\r\n" );
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