document.write( "Question 388655: Two terms of an arithmetic sequence are a9 = 85 and a30 = 295. Find a rule for the nth term.
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Algebra.Com's Answer #275012 by Fombitz(32388)\"\" \"About 
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\"a%5B9%5D=a%5B1%5D%2B%289-1%29%2Ad\"
\n" ); document.write( "1.\"85=a%5B1%5D%2B8d\"
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\n" ); document.write( "2.\"295=a%5B1%5D%2B30d\"
\n" ); document.write( "Subtract eq. 1 from eq. 2,
\n" ); document.write( "\"a%5B1%5D%2B29d-a%5B1%5D-8d=295-85\"
\n" ); document.write( "\"21d=210\"
\n" ); document.write( "\"d=10\"
\n" ); document.write( "Then use either equation to solve for \"a%5B1%5D\".
\n" ); document.write( "\"a%5B1%5D%2B80=85\"
\n" ); document.write( "\"a%5B1%5D=5\"
\n" ); document.write( "So then,
\n" ); document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\"
\n" ); document.write( "\"a%5Bn%5D=5%2B%28n-1%29%2810%29\"
\n" ); document.write( "\"a%5Bn%5D=5%2B10n-10\"
\n" ); document.write( "\"highlight%28a%5Bn%5D=10n-5%29\"
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