document.write( "Question 1185813: Insert 2 arithmetic means between 10 and 37.
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Algebra.Com's Answer #816661 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Imagine yourself working on the number line.\r\n" );
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document.write( "When you insert two arithmetic means between the points 10 and 37,  you get 3 (three) intervals\r\n" );
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document.write( "of equal length on the segment  [10,37],  whose length is 37-10 = 27 units.\r\n" );
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document.write( "These three segments have the same length, so the length of each small segment is  27/3 = 9 units.\r\n" );
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document.write( "This length of small segments is nothing else as the common difference of the arithmetic progression.\r\n" );
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document.write( "HENCE, you have an arithmetic progression  10, 19, 28, 37,\r\n" );
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document.write( "and the inserted arithmetic means are the points (the values)  19 and 28.\r\n" );
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