document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196058>Question 1196058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the general rule/formula of the sequence: 7, 5, 3, ... </SPAN>\n" );
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document.write( "Without more info, there could be infinitely many possible answers. See my previous post <a  rel=nofollow HREF=\"https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1195913.html\">here</a> for more details.\r<BR>\n" );
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document.write( "If we assume the sequence is arithmetic, then,<BR>\n" );
document.write( "a1 = 7 = first term<BR>\n" );
document.write( "d = -2 = common difference\r<BR>\n" );
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document.write( "And furthermore,<BR>\n" );
document.write( "nth term = a1 + d(n-1) <BR>\n" );
document.write( "nth term = 7 + (-2)(n-1) <BR>\n" );
document.write( "nth term = 7 -2(n-1) <BR>\n" );
document.write( "nth term = 7 -2n+2 <BR>\n" );
document.write( "nth term = <font color=red>-2n+9</font><BR>\n" );
document.write( "Again this all hinges on the assumption we have an arithmetic sequence. <BR>\n" );
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