document.write( "Question 1197650: 2nd question:
\n" ); document.write( "the terms a,m,n,b form an arithmetic sequence.Express m and n in terms of a and b.(The terms m and n are arithmetic means of the terms a and b.)\r
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Algebra.Com's Answer #831034 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " As you started your solution, it was absolutely right way.
\n" ); document.write( " I only do not understand why you stopped there, where you stopped and did not go to the end.\r
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document.write( "The reasoning is very simple and intuitively is obvious.\r\n" );
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document.write( "We should place two terms \"m\" and \"n\" between given numbers \"a\" and \"b\" in a way that\r\n" );
document.write( "four terms a, m, n, b form an AP.\r\n" );
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document.write( "So, between the extreme terms \"a\" and \"b\", there are three gaps of equal length.\r\n" );
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document.write( "Hence, each gap is , and therefore\r\n" );
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document.write( "    m =  +  =  = ,\r\n" );
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document.write( "    n =  -  =  = .\r\n" );
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document.write( "That's all.  At this point, the solution is complete.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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