document.write( "Question 1153035: If there are 12 arithmetic means between -5 and 60, what is the common difference of the arithmetic progression? \n" ); document.write( "

Algebra.Com's Answer #775178 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "The distance between -5 and 60 in number line is 65 units.\r\n" );
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document.write( "From the other side, 12 arithmetic means (actually, 12 terms of an arithmetic progression)\r\n" );
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document.write( "divide the segment [-5,60] in 13 equal intervals, so each interval (the gap between the neighbor terms) is  65/13 = 5 units.\r\n" );
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document.write( "Each such gap is the common difference of the arithmetic prigression, so its common difference is 5.    ANSWER\r\n" );
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