document.write( "Question 1149133: if 4 arithmetic means are inserted between 1 & 36 the sum of the resulting terms is 148 .find the common difference and n . thank you \n" ); document.write( "

Algebra.Com's Answer #770481 by ikleyn(52858) $\"\"$ $\"About$

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document.write( "If 4 arithmetic means are inserted between 1 and 36, it means that you have an arithmetic progression with 6 terms:\r\n" );
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document.write( "    the first term is 1 and the last, 6-th term is 36.\r\n" );
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document.write( "There are 5 gaps in the number line between these 6 terms of the AP.\r\n" );
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document.write( "The gaps are of the same length, which is, hence,   =  = 7.\r\n" );
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document.write( "Thus, the common difference is exactly the value of the gap, i.e. 7 units.\r\n" );
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document.write( "Thus the AP is  1, 8, 15, 22, 29, 36.\r\n" );
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document.write( "ANSWER.  n = 6, which is MORE THAN OBVIOUS.\r\n" );
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document.write( "         Common difference is 7.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Notice. The info about the sum (148) is not necessary and excessive.\r
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\n" ); document.write( "\n" ); document.write( " It is NOT USED in the solution.\r
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