document.write( "Question 1069603: Three consecutive terms in an arithmetic sequence is given with a middle one x. The sum of the three terms is 30 and the product of the three terms is 840
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Algebra.Com's Answer #684778 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "Three consecutive terms in an arithmetic sequence is given with a middle one x. The sum of the three terms is 30 and
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document.write( "The terms are x-d, x and x+d, where d is the common difference.\r\n" );
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document.write( "For x, you have the equation \r\n" );
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document.write( "(x-d) + x + (x+d) = 30,\r\n" );
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document.write( "which is equivalent to\r\n" );
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document.write( "3x = 30\r\n" );
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document.write( "and gives x =  = 10.\r\n" );
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document.write( "The second equation is \r\n" );
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document.write( "(x-d)*x*(x+d) = 840,   or\r\n" );
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document.write( "(10 - d)*10*(10 + d) = 840,\r\n" );
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document.write( "which gives\r\n" );
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document.write( " = ,   or\r\n" );
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document.write( " = 84,   --->   = 100 - 84 = 16,  --->   = 4,   = -4.\r\n" );
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document.write( "The first progression is  {6, 10, 14}.\r\n" );
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document.write( "The second progression is  {14, 10, 6}.\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is a bunch of lessons on arithmetic progressions in this site \r
\n" ); document.write( "\n" ); document.write( "    - Arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - The proofs of the formulas for arithmetic progressions \r
\n" ); document.write( "\n" ); document.write( "    - Problems on arithmetic progressions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - Chocolate bars and arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - One characteristic property of arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on arithmetic progressions \r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic
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