document.write( "Question 1112962: Please help me. 2p+3, 4p+3, and 5p+2 are the first three terms in an arithmetic sequence. How to find p?
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Algebra.Com's Answer #728002 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "If three numbers ,   and   form an arithmetic progression, then\r\n" );
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document.write( " -  =  - ,\r\n" );
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document.write( "by the definition of an arithmetic progression.\r\n" );
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document.write( "It gives you an equation, in your case,\r\n" );
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document.write( "(5p+2) - (4p+3) = (4p+3) - (2p+3).\r\n" );
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document.write( "Simplify and solve for \"p\".\r\n" );
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document.write( "Then, having \"p\", restore the three numbers.\r\n" );
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\n" ); document.write( "On arithmetic progressions, see the lessons\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( "    - Mathematical induction 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 \"Arithmetic progressions\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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