document.write( "Question 998766: The mean of the first five terms of an arithmetic sequence is 27, and the mean of the first eight terms of the same sequence is 39. What is the absolute difference between the first and second terms of this sequence?
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Algebra.Com's Answer #616522 by mananth(16946) $\"\"$ $\"About$

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Mean of First term of an AP is 27\r
\n" ); document.write( "\n" ); document.write( "Sum = 5*27 = 135\r
\n" ); document.write( "\n" ); document.write( "S5= 135\r
\n" ); document.write( "\n" ); document.write( "similarly S8 = 39*8= 312\r
\n" ); document.write( "\n" ); document.write( "135 = 5/2( 2a+(5-1)d)\r
\n" ); document.write( "\n" ); document.write( "270=5( 2a+4d)\r
\n" ); document.write( "\n" ); document.write( "54 =2a+4d
\n" ); document.write( "/2
\n" ); document.write( "27= a+2d..........(1)\r
\n" ); document.write( "\n" ); document.write( "sum of eighth term \r
\n" ); document.write( "\n" ); document.write( "312 = 8/2(2a+(8-1)d)\r
\n" ); document.write( "\n" ); document.write( "78 = 2a+7d..........(2)\r
\n" ); document.write( "\n" ); document.write( "solve (1) & (2)
\n" ); document.write( "we get d=8\r
\n" ); document.write( "\n" ); document.write( "and a = 11\r
\n" ); document.write( "\n" ); document.write( "I term = 11\r
\n" ); document.write( "\n" ); document.write( "difference =8\r
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