document.write( "Question 980362: The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term? \n" ); document.write( "
Algebra.Com's Answer #601625 by Fombitz(32388)\"\" \"About 
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\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad\"
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\n" ); document.write( "\"a%5B5%5D=a%5B1%5D%2B%285-1%29%2Ad\"
\n" ); document.write( "1.\"a%5B1%5D%2B4d=9\"
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\n" ); document.write( "\"a%5B32%5D=a%5B1%5D%2B%2832-1%29%2Ad\"
\n" ); document.write( "2.\"a%5B1%5D%2B31d=-84\"
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\n" ); document.write( "Subtract eq. 1 from eq. 2,
\n" ); document.write( "\"a%5B1%5D%2B31d-a%5B1%5D-4d=-84-9\"
\n" ); document.write( "\"27d=-93\"
\n" ); document.write( "\"d=-93%2F27\"
\n" ); document.write( "\"d=-31%2F9\"
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\n" ); document.write( "So then,
\n" ); document.write( "\"a%5B1%5D%2B4%28-31%2F9%29=9\"
\n" ); document.write( "\"a%5B1%5D-124%2F9=81%2F9\"
\n" ); document.write( "\"a%5B1%5D=205%2F9\"
\n" ); document.write( "and
\n" ); document.write( "\"a%5B23%5D=205%2F9%2B%2823-1%29%28-31%2F9%29\"
\n" ); document.write( "\"a%5B23%5D=205%2F9-682%2F9\"
\n" ); document.write( "\"a%5B23%5D=-477%2F9\"
\n" ); document.write( "\"highlight_green%28a%5B23%5D=-53%29\"\r
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