document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199475>Question 1199475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The 7th term is 56 and the 12th term is -1792 of the geometric <BR>\n" );
document.write( "sequence. Find the ratio and the first term. Assume the <BR>\n" );
document.write( "ratios are equal. </SPAN>\n" );
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document.write( "The 12th term is the 7th term, multiplied by the common ratio 12-7 = 5 times.  Use the given information to determine the common ratio.<br><BR>\n" );
document.write( "-1792 = 56(r^5)<BR>\n" );
document.write( "r^5 = -1792/56 = -32<BR>\n" );
document.write( "r = -2<br><BR>\n" );
document.write( "The 7th term is the first term, multiplied by the common ratio 7-1 = 6 times.  Use the given 7th term and the common ratio of -2 to find the first term.<br><BR>\n" );
document.write( "56 = a((-2)^6)<BR>\n" );
document.write( "56 = 64a<BR>\n" );
document.write( "a = 56/64 = 7/8<br><BR>\n" );
document.write( "ANSWERS:  common ratio -2; first term 7/8<br><BR>\n" );
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