document.write( "Question 1175457: Find the arithmetic series whose 6th term is 0 and whose 10th term is 16. Show that there must be 14 terms in the series if its sum is 84. \n" ); document.write( "
Algebra.Com's Answer #801091 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi\r\n" );
document.write( " \"a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad\"\r\n" );
document.write( "\"a%5B6%5D=a%5B1%5D%2B%285%29%2Ad\" = 0  \r\n" );
document.write( "\"a%5B10%5D=a%5B1%5D%2B%289%29%2Ad\" = 16 \r\n" );
document.write( "   a + 9d = 16 \r\n" );
document.write( "   a + 5d = 0    |Subtract 2nd from 1st\r\n" );
document.write( "       4d = 16\r\n" );
document.write( "        d = 4   and a1 = -20    \"+a%5B1%5D+=+-5d\"\r\n" );
document.write( "   \r\n" );
document.write( "\"S%5Bn%5D=%28n%28a%5B1%5D%2Ba%5Bn%5D%29%29%2F2\"   \"a%5B14%5D=-20+%2B%2813%29%2A4\"  \r\n" );
document.write( "\"S%5B14%5D=%2814%28-20+%2B+32%29%29%2F2+=+84\"\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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